Temat: Killing field - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Horizontal lift of symmetric connections to the bundle of volume forms $\mathcal{V}$
Autorzy:: Gasior, Anna
Powiązania:: https://bibliotekanauki.pl/articles/747213.pdf
Data publikacji:: 2010
Wydawca:: Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:: Horizontal lift
$\pi$-conjugate connection
Killing field
infinitesimal transformation
$F(3, 1)$-structure
FK, FAK, FNK, FQK, FH-structure
Opis:: In this paper we present the horizontal lift of a symmetric affine connection with respect to another affine connection to the bundle of volume forms $\mathcal{V}$ and give formulas for its curvature tensor, Ricci tensor and the scalar curvature. Next, we give some properties of the horizontally lifted vector fields and certain infinitesimal transformations. At the end, we consider some substructures of a $F(3, 1)$-structure on $\mathcal{V}$.
Źródło:: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2010, 54, 1
0365-1029
2083-7402
Pojawia się w:: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Invariants and flow geometry
Autorzy:: González-Dávila, J.
Vanhecke, L.
Powiązania:: https://bibliotekanauki.pl/articles/965888.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: flow model spaces
normal, contact and curvature homogeneous flows
invariants and characterizations of special Riemannian manifolds
flows generated by a unit Killing vector field
Opis:: We continue the study of Riemannian manifolds (M,g) equipped with an isometric flow $ℱ_ξ$ generated by a unit Killing vector field ξ. We derive some new results for normal and contact flows and use invariants with respect to the group of ξ-preserving isometries to charaterize special (M,g,$ℱ_ξ$), in particular Einstein, η-Einstein, η-parallel and locally Killing-transversally symmetric spaces. Furthermore, we introduce curvature homogeneous flows and flow model spaces and derive an algebraic characterization of Killing-transversally symmetric spaces by using the curvature tensor of special flow model spaces. All these results extend the corresponding theory in Sasakian geometry to flow geometry.
Źródło:: Colloquium Mathematicum; 1999, 81, 1; 33-50
0010-1354
Pojawia się w:: Colloquium Mathematicum
Dostawca treści:: Biblioteka Nauki

Artykuł

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