ON CURVATURE PROPERTIES OF CERTAIN QUASI-EINSTEIN HYPERSURFACES

DOI10.1142/S0129167X12500735zbMath1255.53015OpenAlexW2152576035MaRDI QIDQ2909468

Z. Sentürk, Ryszard Deszcz, Marian Hotloś

Publication date: 30 August 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x12500735

zbMATH Keywords

warped productquasi-Einstein manifoldpseudosymmetry type manifoldquasi-Einstein hypersurfacepseudosymmetric hypersurfaceRicci-pseudosymmetric hypersurfaceWalker type identity

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (9)

On warped product manifolds satisfying some curvature conditions ⋮ Some curvature restricted geometric structures for projective curvature tensors ⋮ Hypersurfaces in space forms satisfying some curvature conditions ⋮ A Note on Some Generalized Curvature Tensor ⋮ On some curvature conditions of pseudosymmetry type ⋮ Curvature properties of Gödel metric ⋮ On Chen ideal submanifolds satisfying some conditions of pseudo-symmetry type ⋮ Hypersurfaces in space forms satisfying some generalized Einstein metric condition ⋮ On geodesic mappings in a particular class of Roter spaces

Cites Work

• Properties of a scalar curvature invariant depending on two planes
• On quasi-Einstein Cartan type hypersurfaces
• On the parallel transport of the Ricci curvatures
• On Ricci-pseudosymmetric hypersurfaces in spaces of constant curvature
• Quasi-Einstein totally real submanifolds of the nearly Kähler 6-sphere
• Classification of Ric-semiparallel hypersurfaces in Euclidean spaces
• A Ricci-semi-symmetric hypersurface of Euclidean space which is not semi-symmetric
• On a particular class of warped products with fibres locally isometric to generalized Cartan hypersurfaces
• Some remarks on the geometry of austere manifolds
• P.J. Ryan's problem in semi-Riemannian space forms
• On some generalized Einstein metric conditions on hypersurfaces in semi-Riemannian space forms
• Examples of nonsemisymmetric Ricci-semisymmetric hypersurfaces
• On some class of pseudosymmetric warped products

This page was built for publication: ON CURVATURE PROPERTIES OF CERTAIN QUASI-EINSTEIN HYPERSURFACES