Temat: submanifolds - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On Cauchy-Riemann submanifolds whose local geodesic symmetries preserve the fundamental form
Autorzy:: Dragomir, Sorin
Capursi, Mauro
Powiązania:: https://bibliotekanauki.pl/articles/1312024.pdf
Data publikacji:: 1992
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Cauchy-Riemann submanifolds
Opis:: We classify generic Cauchy-Riemann submanifolds (of a Kaehlerian manifold) whose fundamental form is preserved by any local geodesic symmetry.
Źródło:: Annales Polonici Mathematici; 1992, 57, 2; 99-103
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On normal CR-submanifolds of S-manifolds
Autorzy:: Cabrerizo, José
Fernández, Luis
Fernández, Manuel
Powiązania:: https://bibliotekanauki.pl/articles/967514.pdf
Data publikacji:: 1993
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: S-manifolds
normal CR-submanifolds
S-space forms
Opis:: Many authors have studied the geometry of submanifolds of Kaehlerian and Sasakian manifolds. On the other hand, David E. Blair has initiated the study of S-manifolds, which reduce, in particular cases, to Sasakian manifolds ([1, 2]). I. Mihai ([8]) and L. Ornea ([9]) have investigated CR-submanifolds of S-manifolds. The purpose of the present paper is to study a special kind of such submanifolds, namely the normal CR-submanifolds. In Sections 1 and 2, we review basic formulas and definitions for submanifolds in Riemannian manifolds and in S-manifolds, respectively, which we shall use later. In Section 3, we introduce normal CR-submanifolds of S-manifolds and we study some properties of their geometry. Finally, in Section 4, we consider those submanifolds in the case of the ambient S-manifold being an S-space form.
Źródło:: Colloquium Mathematicum; 1993, 64, 2; 203-214
0010-1354
Pojawia się w:: Colloquium Mathematicum
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: A microlocal version of Cartan-Grauerts theorem
Autorzy:: Maresin, I.
Sergeev, A.
Powiązania:: https://bibliotekanauki.pl/articles/1294225.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: totally real submanifolds
domains of holomorphy
tuboids
Opis:: Tuboids are tube-like domains which have a totally real edge and look asymptotically near the edge as a local tube over a convex cone. For such domains we state an analogue of Cartan's theorem on the holomorphic convexity of totally real domains in $ℝ^n ⊂ ℂ^n$.
Źródło:: Annales Polonici Mathematici; 1998, 70, 1; 157-162
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

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

Skocz do pozycji: 5.

Tytuł:: On some Lr-biharmonic Euclidean hypersurfaces
Autorzy:: Mohammadpouri, A.
Pashaie, F.
Powiązania:: https://bibliotekanauki.pl/articles/357780.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
Tematy:: linearized operator Lr
Lr-biharmonic hypersurfaces
Lr-finite type hypersurfaces
r-minimal
Euclidean space
submanifolds
curvature
hiperprzestrzeń
przestrzeń euklidesowa
podrozmaitość
krzywizna
Opis:: In decade eighty, Bang-Yen Chen introduced the concept of biharmonic hypersurface in the Euclidean space. An isometrically immersed hypersurface $x : M^{n} \rightarrow \mathbb{E}^{n+1}$ is said to be biharmonic if $\Delta^{2}x = 0$, where $\Delta$ is the Laplace operator. We study the $L_{r}$-biharmonic hypersurfaces as a generalization of biharmonic ones, where Lr is the linearized operator of the $(r + 1)$th mean curvature of the hypersurface and in special case we have $L_{0} = \Delta$. We prove that $L_{r}$-biharmonic hypersurface of $L_{r}$-finite type and also $L_{r}$-biharmonic hypersurface with at most two distinct principal curvatures in Euclidean spaces are r-minimal.
Źródło:: Journal of Mathematics and Applications; 2016, 39; 91-104
1733-6775
2300-9926
Pojawia się w:: Journal of Mathematics and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

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