Complete spacelike submanifolds in a locally symmetric semi-Riemannian space
From MaRDI portal
Publication:5113352
DOI10.1142/S0129167X20500330zbMath1440.53073OpenAlexW3006529675WikidataQ115246504 ScholiaQ115246504MaRDI QIDQ5113352
Publication date: 4 June 2020
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129167x20500330
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Rigidity results (53C24)
Cites Work
- Complete space-like hypersurfaces in locally symmetric Lorentz spaces
- Complete space-like submanifolds in a de Sitter space with parallel mean curvature vector
- On spacelike hypersurfaces with constant mean curvature in the de Sitter space
- Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
- Complete spacelike submanifolds in de Sitter space with parallel mean curvature vector satisfying \(H^ 2=4(n-1)/^ 2\)
- Spacelike submanifolds with parallel mean curvature in pseudo-Riemannian space forms
- A characterization of hyperbolic cylinders in the de Sitter space
- Rigidity theorems for complete spacelike hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces
- Spacelike submanifolds in the de Sitter space \(S_p^{n+p}(c)\) with constant scalar curvature
- Isometric immersions of Riemannian manifolds
- Complete hypersurfaces with two distinct principal curvatures in a locally symmetric Riemannian manifold
- On maximal spacelike hypersurfaces in a Lorentzian manifold
- Harmonic functions on complete riemannian manifolds
- Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor
- Submanifolds with Constant Mean Curvature
- Some remarks on the existence of spacelike hypersurfaces of constant mean curvature
