Entire radially symmetric graphs with prescribed mean curvature in warped product spaces

DOI10.1016/j.jmaa.2016.03.088zbMath1338.53091OpenAlexW2325072463MaRDI QIDQ275314

Zonglao Zhang

Publication date: 25 April 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.03.088

zbMATH Keywords

graphRiemannian manifoldhyperbolic spacemean curvaturewarped product

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

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• Nonexistence of complete conformal metrics with prescribed scalar curvatures on a manifold of nonpositive curvature
• Function theory on manifolds which possess a pole
• Notes on submanifolds in warped products
• On the mean curvature of semi-Riemannian graphs in semi-Riemannian warped products
• Existence of prescribed mean curvature graphs in hyperbolic space
• Complete spacelike hypersurfaces with constant mean curvature in \(-\mathbb R\times \mathbb H^n\)
• Complete vertical graphs with constant mean curvature in semi-Riemannian warped products
• Existence of constant mean curvature graphs in hyperbolic space
• A remark on the mean curvature of a graph-like hypersurface in hyperbolic space
• Warping functions of some warped products
• Constant mean curvature graphs in a class of warped product spaces
• Über Flächen mit eindeutiger Projektion auf eine Ebene, deren Krümmungen durch Ungleichungen eingeschränkt sind
• CONSTANT MEAN CURVATURE HYPERSURFACES IN WARPED PRODUCT SPACES
• Manifolds of Negative Curvature

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