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    Wyświetlanie 1-20 z 20
    Tytuł:
    The graph of a totally geodesic foliation
    Autorzy:
    Wolak, Robert
    Powiązania:
    https://bibliotekanauki.pl/articles/1311639.pdf
    Data publikacji:
    1995
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    foliation
    totally geodesic
    graph
    Opis:
    We study the properties of the graph of a totally geodesic foliation. We limit our considerations to basic properties of the graph, and from them we derive several interesting corollaries on the structure of leaves.
    Źródło:
    Annales Polonici Mathematici; 1994-1995, 60, 3; 241-247
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Module of a geodesic foliation on the flat torus
    Autorzy:
    Kaźmierczak, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/122768.pdf
    Data publikacji:
    2014
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    flat torus
    module of a family of submanifolds
    foliation
    geodesics
    foliacja
    geodezja
    Opis:
    We study properties of geodesic foliations on the flat, n-dimensional torus. Using the isomorphism of the Hodge star, we obtain some facts concerning compact totally geodesic surfaces (which are the leaves of geodesic foliations). We compute the p-module of a geodesic foliation. On the basis of these results, we derive a kind of reciprocity formula for the product of modules of two orthogonal foliations. We relate this product with the number of intersections of their leaves. We also obtain a formula for a product of modules of a finite number of geodesic foliations.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 4; 61-72
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On extendability of invariant distributions
    Autorzy:
    Ziemian, Bogdan
    Powiązania:
    https://bibliotekanauki.pl/articles/1207929.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Hausdorff partition
    foliation
    invariant distribution
    Opis:
    In this paper sufficient conditions are given in order that every distribution invariant under a Lie group extend from the set of orbits of maximal dimension to the whole of the space. It is shown that these conditions are satisfied for the n-point action of the pure Lorentz group and for a standard action of the Lorentz group of arbitrary signature.
    Źródło:
    Annales Polonici Mathematici; 2000, 74, 1; 13-25
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the first secondary invariant of Molinos central sheaf
    Autorzy:
    Álvarez López, Jesús
    Powiązania:
    https://bibliotekanauki.pl/articles/1310941.pdf
    Data publikacji:
    1996
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    foliation
    taut
    Opis:
    For a Riemannian foliation on a closed manifold, the first secondary invariant of Molino's central sheaf is an obstruction to tautness. Another obstruction is the class defined by the basic component of the mean curvature with respect to some metric. Both obstructions are proved to be the same up to a constant, and other geometric properties are also proved to be equivalent to tautness.
    Źródło:
    Annales Polonici Mathematici; 1996, 64, 3; 253-265
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Cartan connection of transversally Finsler foliation
    Autorzy:
    Miernowski, Andrzej
    Powiązania:
    https://bibliotekanauki.pl/articles/747272.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
    Tematy:
    Finsler metric
    normal bundle
    Cartan connection
    Opis:
    The purpose of this paper is to define transversal Cartan connectionof Finsler foliation and to prove its existence and uniqueness.
    Źródło:
    Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2012, 66, 1
    0365-1029
    2083-7402
    Pojawia się w:
    Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A finiteness theorem for Riemannian submersions
    Autorzy:
    Walczak, Paweł
    Powiązania:
    https://bibliotekanauki.pl/articles/1312004.pdf
    Data publikacji:
    1992
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Riemannian foliation
    Riemannian submersion
    geometry bounds
    finiteness
    Opis:
    Given some geometric bounds for the base space and the fibres, there is a finite number of conjugacy classes of Riemannian submersions between compact Riemannian manifolds.
    Źródło:
    Annales Polonici Mathematici; 1992, 57, 3; 283-290
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A note on generalized flag structures
    Autorzy:
    Rybicki, Tomasz
    Powiązania:
    https://bibliotekanauki.pl/articles/1294378.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    generalized foliation
    subfoliation
    flag structure
    distinguished chart
    Opis:
    Generalized flag structures occur naturally in modern geometry. By extending Stefan's well-known statement on generalized foliations we show that such structures admit distinguished charts. Several examples are included.
    Źródło:
    Annales Polonici Mathematici; 1998, 69, 1; 89-97
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A type of non-equivalent pseudogroups. Application to foliations
    Autorzy:
    Alvarez López, Jesús
    Powiązania:
    https://bibliotekanauki.pl/articles/1312196.pdf
    Data publikacji:
    1992
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    pseudogroup
    foliation
    holonomy
    Opis:
    A topological result for non-Hausdorff spaces is proved and used to obtain a non-equivalence theorem for pseudogroups of local transformations. This theorem is applied to the holonomy pseudogroup of foliations.
    Źródło:
    Annales Polonici Mathematici; 1991-1992, 56, 2; 187-194
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The *-holonomy group of the Stefan suspension of a diffeomorphism
    Autorzy:
    Piątkowski, Andrzej
    Powiązania:
    https://bibliotekanauki.pl/articles/1311817.pdf
    Data publikacji:
    1993
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Stefan foliation
    suspension
    holonomy group
    Opis:
    The definition of a Stefan suspension of a diffeomorphism is given. If $_g$ is the Stefan suspension of the diffeomorphism g over a Stefan foliation , and G₀ ∈ satisfies the condition $g|G₀ = id_{G₀}$, then we compute the *-holonomy group for the leaf $F₀ ∈ _g$ determined by G₀. A representative element of the *-holonomy along the standard imbedding of S¹ into F₀ is characterized. A corollary for the case when G₀ contains only one point is derived.
    Źródło:
    Annales Polonici Mathematici; 1993, 58, 2; 123-129
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Some framed \(f\)-structures on transversally Finsler foliations
    Autorzy:
    Ida, Cristian
    Powiązania:
    https://bibliotekanauki.pl/articles/747021.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
    Tematy:
    Transversally Finsler foliation
    Liouville distribution
    framed f-structures
    Opis:
    Some problems concerning to Liouville distribution and framed \(f\)-structures are studied on the normal bundle of the lifted Finsler foliation to its normal bundle. It is shown that the Liouville distribution of transversally Finsler foliations is an integrable one and some natural framed \(f(3,\varepsilon)\)-structures of corank 2 exist on the normal bundle of the lifted Finsler foliation.
    Źródło:
    Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2011, 65, 1
    0365-1029
    2083-7402
    Pojawia się w:
    Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the perfectness of C∞ s-diffeomorphism groups on a foliated manifold
    Autorzy:
    Lech, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/255053.pdf
    Data publikacji:
    2008
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    group of C∞-diffeomorphisms
    perfectness
    commutator
    foliation
    Opis:
    The notion of Cr,s and C∞,s-diffeomorphisms is introduced. It is shown that the identity component of the group of leaf preserving C∞,s-diffeomorphisms with compact supports is perfect. This result is a modification of the Mather and Epstein perfectness theorem.
    Źródło:
    Opuscula Mathematica; 2008, 28, 3; 313-324
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On Lie algebras of vector fields related to Riemannian foliations
    Autorzy:
    Rybicki, Tomasz
    Powiązania:
    https://bibliotekanauki.pl/articles/1311816.pdf
    Data publikacji:
    1993
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Riemannian foliation
    Lie algebra
    ideal
    isomorphism
    vector field
    generalized manifold
    stratification
    Opis:
    Riemannian foliations constitute an important type of foliated structures. In this note we prove two theorems connecting the algebraic structure of Lie algebras of foliated vector fields with the smooth structure of a Riemannian foliation.
    Źródło:
    Annales Polonici Mathematici; 1993, 58, 2; 111-122
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Connections in regular Poisson manifolds over ℝ-Lie foliations
    Autorzy:
    Kubarski, Jan
    Powiązania:
    https://bibliotekanauki.pl/articles/1207678.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Lie algebroid
    ℝ-Lie foliation
    Poisson manifold
    closed transversal
    flat connection with singularites along closed transversals
    Opis:
    The subject of this paper is the notion of the connection in a regular Poisson manifold M, defined as a splitting of the Atiyah sequence of its Lie algebroid. In the case when the characteristic foliation F is an ℝ-Lie foliation, the fibre integral operator along the adjoint bundle is used to define the Euler class of the Poisson manifold M. When M is oriented 3-dimensional, the notion of the index of a local flat connection with singularities along a closed transversal is defined. If, additionally, F has compact leaves (then F is a fibration over $S^{1}$), an analogue of the Euler-Poincaré-Hopf index theorem for flat connections with singularities along closed transversals is obtained.
    Źródło:
    Banach Center Publications; 2000, 51, 1; 141-149
    0137-6934
    Pojawia się w:
    Banach Center Publications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Morphostructural zones of the Myrdalsjokull ice cap and its main outlet glacier the Hofdabrekkujokull, Iceland
    Autorzy:
    Olszewski, A.
    Weckwerth, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/294791.pdf
    Data publikacji:
    1999
    Wydawca:
    Stowarzyszenie Geomorfologów Polskich
    Tematy:
    Iceland
    ice cap
    outlet glacier
    morphostructural zones
    foliation
    types of fissures
    Opis:
    The problem of the morphostructures of glaciers is directly associated, certainly as far as its condition and origin is concerned, with topographical, geomorphological and geological rock foundations, surrounding those at the bedrock of glaciers and also, in case of valley and outflow glaciers, with those of the valley slopes. differentiation of the bedrock of the Myrdalsjokull ice cap leads to a classification of its three morphostructural zones: the glaciomorphological centre (A) which has only slightly varied relief (a,- a4), a northern homogeneous macro-cone of radial flow (B), and a bipartite, supramarginal surrounding slope (C), which has a significant development of outflow glaciers. This differentiation of the subglacial relief and the rocky surrounding of the Hofdabrekkujokull, are manifested in the distribution of various types of foliation and fissuring on its subaerial surface. These, together with its hypsometric formation, were the basis for distinguishing four morphostructural zones of this glacier (Ht - H4). The distinctive morphostructural features of the sector of the bottom zone (H4) of the glacier determine the areas of its particular activity; this reflects the lithogenetic and morphogenetic nature of the subglacial bedrock. The deformed deposits of the bedrock and the nearest forefield represent an important dynamic effect of the glacial system.
    Źródło:
    Landform Analysis; 1999, 2; 51-62
    1429-799X
    Pojawia się w:
    Landform Analysis
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the role of partial Ricci curvature in the geometry of submanifolds and foliations
    Autorzy:
    Rovenskiĭ, Vladimir
    Powiązania:
    https://bibliotekanauki.pl/articles/1294528.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Riemannian manifold
    submanifold
    foliation
    ruled submanifold
    q-Ricci curvature
    distance
    radius of submanifold
    index of relative nullity
    Opis:
    Submanifolds and foliations with restrictions on q-Ricci curvature are studied. In §1 we estimate the distance between two compact submanifolds in a space of positive q-Ricci curvature, and give applications to special classes of submanifolds and foliations: k-saddle, totally geodesic, with nonpositive extrinsic q-Ricci curvature. In §2 we generalize a lemma by T. Otsuki on asymptotic vectors of a bilinear form and then estimate from below the radius of an immersed submanifold in a simply connected Riemannian space with nonpositive curvature; moreover, we prove a theorem on nonembedding into a circular cylinder when the ambient space is Euclidean. Corollaries are nonembedding theorems of Riemannian manifolds with nonpositive q-Ricci curvature into a Euclidean space. In §3 a lower estimate of the index of relative nullity of a submanifold with nonpositive extrinsic q-Ricci curvature is proven. Corollaries are extremal theorems for a compact submanifold with the nullity foliation in a Riemannian space of positive curvature. On the way, some results by T. Frankel, K. Kenmotsu and C. Xia, J. Morvan, A. Borisenko, S. Tanno, B. O'Neill, J. Moore, T. Ishihara, H. Jacobowitz, L. Florit, M. Dajczer and L. Rodríguez are generalized.
    Źródło:
    Annales Polonici Mathematici; 1998, 68, 1; 61-82
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Deformation structures in the gneissic exotic pebbles from the area of Wołosate (Cisna sandstone, Dukla tectonic unit, Outer Carpathians, Poland)
    Autorzy:
    Kania, M.
    Wolska, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/191383.pdf
    Data publikacji:
    2009
    Wydawca:
    Polskie Towarzystwo Geologiczne
    Tematy:
    gneissic exotic pebbles
    foliation
    metamorphism
    mica fish
    Bieszczady Mts.
    Outer Carpathians
    Polska
    Opis:
    Gneissic exotic pebbles from the Cisna beds (Dukla tectonic unit) in the region of Wołosate (Biesz- czady Mts., Eastern Carpathians) were investigated. These exotic pebbles are from 9.5 to 13 cm in size. Basing on the structural features, the following groups of exotic pebbles were distinguished: granitic gneisses, laminated gneisses, flaser gneisses and mylonitic gneisses. Granite - granodiorite protolith was deformed in the shear zone; strain partitioning was probably an important process during deformation. The observed structures allow to determine the temperature of metamorphism as 500-550°C. The lower limit of pressure was determined basing on phengite geobarometer as 5 kbar. The nature and localization of the source area can be similar to the Bretila sequence from the Romanian Eastern Carpathians.
    Źródło:
    Annales Societatis Geologorum Poloniae; 2009, 79, No 2; 41-52
    0208-9068
    Pojawia się w:
    Annales Societatis Geologorum Poloniae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Deformation structures in the gneissic exotic pebbles from the area of Wołosate (Cisna sandstone, Dukla tectonic unit, Outer Carpathians, Poland)
    Autorzy:
    Kania, M.
    Wolska, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/191901.pdf
    Data publikacji:
    2009
    Wydawca:
    Polskie Towarzystwo Geologiczne
    Tematy:
    gneissic exotic pebbles
    foliation
    metamorphism
    mica fish
    Bieszczady Mts.
    Outer Carpathians
    Polska
    Opis:
    Gneissic exotic pebbles from the Cisna beds (Dukla tectonic unit) in the region of Wołosate (Bieszczady Mts., Eastern Carpathians) were investigated. These exotic pebbles are from 9.5 to 13 cm in size. Basing on the structural features, the following groups of exotic pebbles were distinguished: granitic gneisses, laminated gneisses, flaser gneisses and mylonitic gneisses. Granite - granodiorite protolith was deformed in the shear zone; strain partitioning was probably an important process during deformation. The observed structures allow to determine the temperature of metamorphism as 500-550°C. The lower limit of pressure was determined basing on phengite geobarometer as 5 kbar. The nature and localization of the source area can be similar to the Bretila sequence from the Romanian Eastern Carpathians.
    Źródło:
    Annales Societatis Geologorum Poloniae; 2009, 79, No 1; 41-52
    0208-9068
    Pojawia się w:
    Annales Societatis Geologorum Poloniae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-20 z 20

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