Chen-like inequalities on lightlike hypersurfaces of a Lorentzian manifold
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Publication:2637513
DOI10.1186/1029-242X-2013-266zbMath1283.53020OpenAlexW2116135529WikidataQ59300274 ScholiaQ59300274MaRDI QIDQ2637513
Erol Kılıç, Sadık Keleş, Mehmet Gülbahar
Publication date: 12 February 2014
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1029-242x-2013-266
Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Related Items (11)
Chen's Ricci inequalities and topological obstructions on null hypersurfaces of a Lorentzian manifold ⋮ Chen-like inequalities on lightlike hypersurfaces of semi-Riemannian manifolds ⋮ Inequalities for the Casorati curvatures of slant submanifolds in quaternionic space forms ⋮ Remarks on inequalities for the Casorati curvatures of slant submanifolds in quaternionic space forms ⋮ Chen inequalities on lightlike hypersurfaces of a GRW spacetime ⋮ Chen-like inequalities on null hypersurfaces with closed rigging of a Lorentzian manifold ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the sectional curvature of lightlike submanifolds ⋮ Unnamed Item ⋮ Strongly minimal complex lightlike hypersurfaces
Cites Work
- An inequality between intrinsic and extrinsic scalar curvature invariants for codimension 2 embeddings
- Some pinching and classification theorems for minimal submanifolds
- Improved Chen-Ricci inequality for curvature-like tensors and its applications
- On scalar curvature in light-like geometry
- A Riemannian invariant and its applications to submanifold theory
- Global light-like manifolds and harmonicity
- B. Y. Chen inequalities for slant submanifolds in Sasakian space forms
- Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions
- Characterizations of Riemannian space forms, Einstein spaces and conformally flat spaces
- Mean curvature and shape operator of isometric immersions in real-space-forms
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