Hypersurfaces in space forms satisfying some curvature conditions

DOI10.1016/j.geomphys.2015.10.010zbMath1343.53019OpenAlexW1890520051WikidataQ125896687 ScholiaQ125896687MaRDI QIDQ898642

Marian Hotloś, Małgorzata Głogowska, Ryszard Deszcz, Georges Zafindratafa

Publication date: 18 December 2015

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2015.10.010

zbMATH Keywords

Roter-type manifoldTachibana tensorgeneralized Einstein metric condition2-quasi-Einstein hypersurfaceaustere hypersurfacequasi-Einstein hypersurface

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global submanifolds (53C40) Applications of local differential geometry to the sciences (53B50) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (max. 100)

Curvature properties of interior black hole metric ⋮ On curvature properties of Som-Raychaudhuri spacetime ⋮ Curvature properties of Robinson-Trautman metric ⋮ Some curvature restricted geometric structures for projective curvature tensors ⋮ On some curvature properties of Vaidya–Bonner metric ⋮ A Note on Some Generalized Curvature Tensor ⋮ On Sultana–Dyer spacetime: Curvatures and geometric structures ⋮ Unnamed Item ⋮ Curvature properties of Kantowski-Sachs metric ⋮ Curvature properties of \((t-z)\)-type plane wave metric ⋮ Hypersurfaces in space forms satisfying some generalized Einstein metric condition ⋮ Curvature properties of Gödel metric ⋮ Curvature properties of Morris-Thorne wormhole metric ⋮ On hypersurfaces satisfying conditions determined by the Opozda–Verstraelen affine curvature tensor ⋮ On geodesic mappings in a particular class of Roter spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Roter type warped products with 1-dimensional fibres
• On warped product manifolds satisfying some curvature conditions
• On some curvature conditions of pseudosymmetry type
• On a curvature characterization of Ricci-pseudosymmetric hypersurfaces
• Properties of a scalar curvature invariant depending on two planes
• On the Reissner-Nordström-de Sitter type spacetimes
• On quasi-Einstein Cartan type hypersurfaces
• On the parallel transport of the Ricci curvatures
• Calibrated geometries
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). I: The local version
• On Ricci-pseudosymmetric hypersurfaces in spaces of constant curvature
• Generalized \((\kappa,\mu)\)-space forms
• Hypersurfaces with parallel Ricci tensor
• A Ricci-semi-symmetric hypersurface of Euclidean space which is not semi-symmetric
• ON CURVATURE PROPERTIES OF CERTAIN QUASI-EINSTEIN HYPERSURFACES
• On a particular class of warped products with fibres locally isometric to generalized Cartan hypersurfaces
• On some generalized Einstein metric conditions on hypersurfaces in semi-Riemannian space forms
• On some class of pseudosymmetric warped products
• Hypersurfaces in spaces of constant curvature satisfying some Ricci-type equations
• Some nonsemisymmetric Ricci-semisymmetric warped product hypersurfaces
• Curvature properties of some class of hypersurfaces in Euclidean spaces
• Curvature properties of some class of minimal hypersurfaces in Euclidean spaces
• On semi-Riemannian manifolds satisfying some conformally invariant curvature condition
• Curvature properties of Gödel metric
• On curvature characterizations of some hypersurfaces in spaces of constant curvature
• Curvature properties of some class of warped product manifolds

This page was built for publication: Hypersurfaces in space forms satisfying some curvature conditions