Some curvature restricted geometric structures for projective curvature tensors

DOI10.1142/S0219887818501578zbMath1396.53036arXiv1609.04749WikidataQ114072346 ScholiaQ114072346MaRDI QIDQ4585794

Absos Ali Shaikh, Haradhan Kundu

Publication date: 7 September 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.04749

zbMATH Keywords

projective curvature tensorpseudosymmetric manifoldemisymmetric manifoldpseudosymmetric-type manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Local Riemannian geometry (53B20) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (16)

On complex Sasakian manifolds ⋮ Curvature properties of interior black hole metric ⋮ Curvature properties of Melvin magnetic metric ⋮ Unnamed Item ⋮ On some curvature properties of Lemaitre-Tolman-Bondi spacetime ⋮ Curvature properties of generalized pp-wave metric ⋮ On some curvature properties of Vaidya–Bonner metric ⋮ The generalized weakly Ricci symmetric structure ⋮ 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 ⋮ Curvature properties of a special type of pure radiation metrics ⋮ Certain types of GRW-spacetimes ⋮ Curvature properties of anisotropic scale invariant metrics ⋮ Curvature properties of Morris-Thorne wormhole metric

Cites Work

• On Roter type warped products with 1-dimensional fibres
• On warped product manifolds satisfying some curvature conditions
• On equivalency of various geometric structures
• On some curvature conditions of pseudosymmetry type
• On the Roter type of Chen ideal submanifolds
• Hypersurfaces in space forms satisfying some curvature conditions
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). II. Global versions
• On some pseudosymmetry type curvature condition.
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). I: The local version
• On curvature properties of Som-Raychaudhuri spacetime
• On warped product generalized Roter type manifold
• On the Projective Curvature Tensor of Generalized Sasakian-Space-Forms
• ON CURVATURE PROPERTIES OF CERTAIN QUASI-EINSTEIN HYPERSURFACES
• On pseudosymmetric manifolds
• On certain curvature conditions on Riemannian manifolds
• Pseudo-Riemannian symmetric spaces
• On some class of pseudosymmetric warped products
• Some nonsemisymmetric Ricci-semisymmetric warped product hypersurfaces
• Semi-Riemannian manifolds whose Weyl tensor is a Kulkarni-Nomizu square
• On Warped Product Super Generalized Recurrent Manifolds
• On the existence of a generalized class of recurrent manifolds
• Curvature properties of some class of hypersurfaces in Euclidean spaces
• Curvature properties of some class of minimal hypersurfaces in Euclidean spaces
• On weakly symmetric and weakly Ricci symmetric warped product manifolds
• On semi-Riemannian manifolds satisfying some conformally invariant curvature condition
• On warped product manifolds satisfying some pseudosymmetric type conditions
• On Riemann and Weyl compatible tensors
• On generalized Robertson--Walker spacetimes satisfying some curvaturecondition
• Curvature properties of Gödel metric
• Projective-symmetric spaces
• On some Akivis-Goldberg type metrics
• Curvature properties of some class of warped product manifolds
• On Chen ideal submanifolds satisfying some conditions of pseudo-symmetry type
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some curvature restricted geometric structures for projective curvature tensors