Characterizing closed linear Weingarten spacelike submanifolds immersed in the de Sitter space
DOI10.1007/S40863-021-00229-0zbMath1475.53059OpenAlexW3141281193WikidataQ107169125 ScholiaQ107169125MaRDI QIDQ2042174
Henrique Fernandes de Lima, Eudes Leite de Lima
Publication date: 28 July 2021
Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40863-021-00229-0
de Sitter spaceparallel normalized mean curvature vector fieldsharp integral formulaclosed linear Weingarten space-like submanifoldsOkumura type conditiontotally umbilical round spheres
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Submanifolds with constant scalar curvature in a unit sphere
- Rigidity theorems for hypersurfaces with constant mean curvature
- 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
- Hypersurfaces with constant scalar curvature
- Characterizations of spacelike submanifolds with constant scalar curvature in the de Sitter space
- Compact space-like \(m\)-submanifolds in a pseudo-Riemannian sphere \(S_ p^{m+p} (c)\)
- Integral inequalities for compact hypersurfaces with constant scalar curvature in the Euclidean sphere
- New characterizations of linear Weingarten spacelike hypersurfaces in the de Sitter space
- Singularity Theorems in General Relativity: Achievements and Open Questions
- Singularity theorems based on trapped submanifolds of arbitrary co-dimension
- 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
- COMPLETE SPACELIKE SUBMANIFOLDS IN DE SITTER SPACES WITH
- Complete linear Weingarten spacelike submanifolds with higher codimension in the de Sitter space
- Gravitational Collapse and Space-Time Singularities
- The Large Scale Structure of Space-Time
This page was built for publication: Characterizing closed linear Weingarten spacelike submanifolds immersed in the de Sitter space
