Inequalities for scalar curvature of pseudo-Riemannian submanifolds

DOI10.1016/j.geomphys.2016.10.022zbMath1355.53049OpenAlexW2550031796WikidataQ115353012 ScholiaQ115353012MaRDI QIDQ501298

Erol Kılıç, Sadık Keleş, Mehmet Gülbahar, Mukut Mani Tripathi

Publication date: 29 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2016.10.022

zbMATH Keywords

pseudo-Riemannian manifoldspace-like submanifoldindefinite real space formpseudo-Riemannian submanifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global submanifolds (53C40) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (5)

Qualar curvatures of pseudo Riemannian manifolds and pseudo Riemannian submanifolds ⋮ Chen inequalities on spacelike hypersurfaces of a GRW spacetime ⋮ A study of conformal \(\eta \)-Einstein solitons on trans-Sasakian 3-manifold ⋮ On generalized curvature equality and inequality for sequential warped product submanifolds ⋮ Unnamed Item

Cites Work

• An inequality between intrinsic and extrinsic scalar curvature invariants for codimension 2 embeddings
• Ideally embedded space–times
• Mean curvature and shape operator of isometric immersions in real-space-forms
• Isometric Embedding of Riemannian Manifolds into Euclidean Spaces
• Scalar Curvature, Inequality and Submanifold
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