On the parallel transport of the Ricci curvatures

DOI10.1016/j.geomphys.2007.02.008zbMath1169.53016OpenAlexW2058896365MaRDI QIDQ998001

B. Jahanara, Z. Sentürk, Leopold Verstraelen, Stefan Haesen

Publication date: 10 August 2007

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2007.02.008

zbMATH Keywords

Ricci tensorparallel transportRicci pseudo-symmetric

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Connections (general theory) (53C05)

Related Items (14)

Pseudo-symmetries of generalized Wintgen ideal Lagrangian submanifolds ⋮ Curvature properties of interior black hole metric ⋮ ON CURVATURE PROPERTIES OF CERTAIN QUASI-EINSTEIN HYPERSURFACES ⋮ Pseudosymmetry properties of generalised Wintgen ideal Legendrian submanifolds ⋮ On Roter type warped products with 1-dimensional fibres ⋮ On warped product manifolds satisfying some curvature conditions ⋮ Hypersurfaces in space forms satisfying some curvature conditions ⋮ Unnamed Item ⋮ On quasi-Einstein Cartan type hypersurfaces ⋮ Pseudosymmetry collineations ⋮ Curvature properties of Gödel metric ⋮ Ricci solitons on Ricci pseudosymmetric $(LCS)_n$-manifolds ⋮ Unnamed Item ⋮ Symmetry properties of complex contact space form

Cites Work

• Some pinching and classification theorems for minimal submanifolds
• The symmetry of warped product space-times
• Properties of a scalar curvature invariant depending on two planes
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). II. Global versions
• 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
• Classification of Ric-semiparallel hypersurfaces in Euclidean spaces
• A Ricci-semi-symmetric hypersurface of Euclidean space which is not semi-symmetric
• Curvature properties of Cartan hypersurfaces
• On pseudosymmetric space–times
• A Panoramic View of Riemannian Geometry
• ON RICCI-PSEUDOSYMMETRIC HYPERSURFACES IN SPACE FORMS
• Classification of the pseudosymmetric space–times
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