Uniqueness of entire graphs in Riemannian warped products

DOI10.3906/MAT-1510-2zbMath1424.53096OpenAlexW2559458728WikidataQ115219451 ScholiaQ115219451MaRDI QIDQ4633682

Junhong Dong, Xi-Min Liu

Publication date: 3 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1510-2

zbMATH Keywords

warped productmonotonic functioncomplete space-like hypersurface\(r\)-th mean curvature

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

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• The geometry of closed conformal vector fields on Riemannian spaces
• Some rigidity theorems in semi-Riemannian warped products
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• Complete foliations of space forms by hypersurfaces
• Complete hypersurfaces immersed in a semi-Riemannian warped product
• Stability of hypersurfaces with constant \(r\)-mean curvature
• Constant positive 2-mean curvature hypersurfaces
• Uniqueness of entire graphs in warped products
• Isometric immersions of Riemannian manifolds
• Bernstein-type theorems in semi-Riemannian warped products
• Unicity of constant mean curvature hypersurfaces in some riemannian manifolds
• INTEGRAL FORMULAE FOR SPACELIKE HYPERSURFACES IN CONFORMALLY STATIONARY SPACETIMES AND APPLICATIONS
• Hypersurfaces of constant higher order mean curvature in warped products
• CONSTANT MEAN CURVATURE HYPERSURFACES IN WARPED PRODUCT SPACES

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