On the umbilicity of linear Weingarten spacelike submanifolds immersed in the de Sitter space
DOI10.1142/S1664360720500228OpenAlexW3089029093MaRDI QIDQ5095249
Marco Antonio L. Velásquez, Weiller F. C. Barboza, Eudes Leite de Lima, Henrique Fernandes de Lima
Publication date: 5 August 2022
Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1664360720500228
de Sitter spacemean curvature vector fieldtotally umbilical submanifoldslinear Weingarten spacelike submanifolds\(\mathcal{L}\)-parabolicity
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20)
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Cites Work
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- The geometry of closed conformal vector fields on Riemannian spaces
- New characterizations of complete spacelike submanifolds in semi-Riemannian space forms
- 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
- Complete spacelike submanifolds in de Sitter space with parallel mean curvature vector satisfying \(H^ 2=4(n-1)/^ 2\)
- Complete spacelike hypersurfaces with constant mean curvature in the de Sitter space: a gap theorem
- Characterizations of spacelike submanifolds with constant scalar curvature in the de Sitter space
- A Liouville-type result for quasi-linear elliptic equations on complete Riemannian manifolds
- Compact space-like \(m\)-submanifolds in a pseudo-Riemannian sphere \(S_ p^{m+p} (c)\)
- A characterization of hyperbolic cylinders in the de Sitter space
- New characterizations of linear Weingarten spacelike hypersurfaces in the de Sitter space
- Maximum Principles and Geometric Applications
- 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
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