A characterization of hyperbolic cylinders in the de Sitter space
From MaRDI portal
Publication:1915239
DOI10.2748/tmj/1178225410zbMath0848.53039OpenAlexW2021273345MaRDI QIDQ1915239
Publication date: 16 June 1996
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2748/tmj/1178225410
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
Related Items (33)
Some applications of a Simons' type formula for complete spacelike submanifolds in a semi-Riemannian space form ⋮ Linear Weingarten spacelike submanifolds in semi-Riemannian space form ⋮ On the geometry of linear Weingarten spacelike hypersurfaces in the de Sitter space ⋮ New characterizations of linear Weingarten spacelike hypersurfaces in the de Sitter space ⋮ Complete spacelike hypersurfaces in the de Sitter space ⋮ On the umbilicity of linear Weingarten spacelike submanifolds immersed in the de Sitter space ⋮ Unnamed Item ⋮ New characterizations of hyperbolic cylinders in semi-Riemannian space forms ⋮ Characterization results and a sharp integral inequality for LW spacelike hypersurfaces in locally symmetric Lorentzian spaces ⋮ Characterizations of complete CMC spacelike hypersurfaces satisfying an Okumura type inequality ⋮ Characterizations of spacelike hyperplanes in the steady state space via generalized maximum principles ⋮ Complete spacelike submanifolds in a locally symmetric semi-Riemannian space ⋮ New characterizations for hyperbolic cylinders in anti-de Sitter spaces ⋮ Nonexistence and umbilicity of spacelike submanifolds with second fundamental form locally timelike ⋮ CMC hypersurfaces on Riemannian and semi-Riemannian manifolds ⋮ A characterization of linear Weingarten submanifolds in a semi-Riemannian space form with arbitrary index ⋮ On the complete linear Weingarten spacelike hypersurfaces with two distinct principal curvatures in Lorentzian space forms ⋮ Characterizations of spacelike submanifolds with constant scalar curvature in the de Sitter space ⋮ On spacelike hypersurfaces with constant scalar curvature in the de Sitter space ⋮ Rigidity theorems for complete spacelike submanifold in \(S^{n+p}_q(1)\) ⋮ A gap theorem for complete constant scalar curvature hypersurfaces in the de Sitter space ⋮ On complete spacelike submanifolds with second fundamental form locally timelike in a semi-Riemannian space form ⋮ SPACE-LIKE HYPERSURFACES IN LOCALLY SYMMETRIC LORENTZ SPACE ⋮ Complete space-like submanifolds with parallel mean curvature vector in a semi-Riemannian space form ⋮ A sharp integral inequality for closed spacelike submanifolds immersed in the de Sitter space ⋮ Complete linear Weingarten spacelike submanifolds with higher codimension in the de Sitter space ⋮ Complete spacelike hypersurfaces in a de Sitter space ⋮ Spacelike submanifolds with parallel mean curvature vector in a de Sitter space \(S^{n+p}_q(c)\) ⋮ Complete spacelike hypersurfaces with constant mean curvature in anti-de Sitter space ⋮ Complete spacelike hypersurfaces with constant scalar curvature: descriptions and gaps ⋮ CHARACTERIZATIONS OF LINEAR WEINGARTEN SPACELIKE HYPERSURFACES IN EINSTEIN SPACETIMES ⋮ Foliations of doubly warped products by \(k\)-umbilical hypersurfaces ⋮ On complete spacelike hypersurfaces with constant scalar curvature in the de Sitter space
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of maximal surfaces in asymptotically flat spacetimes
- On complete space-like surfaces with constant mean curvature in a Lorentzian 3-space form
- On spacelike hypersurfaces with constant mean curvature in the de Sitter space
- Hypersurfaces of constant mean extrinsic curvature
- Entire spacelike hypersurfaces of constant mean curvature in Minkowski space
- On space-like hypersurfaces with constant mean curvature of a Lorentz space form
- Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
- Isometric immersions of Riemannian manifolds
- The splitting theorem for manifolds of nonnegative Ricci curvature
- Harmonic Maps and Classical Surface Theory in Minkowski 3-Space
- On maximal spacelike hypersurfaces in a Lorentzian manifold
- A Priori Estimates of the Principal Curvatures of Spacelike Hypersurfaces in de Sitter Space with Applications to Hypersurfaces in Hyperbolic Space
- Harmonic functions on complete riemannian manifolds
- Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor
- Some remarks on the existence of spacelike hypersurfaces of constant mean curvature
This page was built for publication: A characterization of hyperbolic cylinders in the de Sitter space
