On the angle of complete CMC hypersurfaces in Riemannian product spaces

DOI10.1016/j.difgeo.2014.02.006zbMath1325.53073OpenAlexW2081633796WikidataQ115356331 ScholiaQ115356331MaRDI QIDQ499519

Eraldo A. jun. Lima, Cicero Pedro Aquino, Henrique Fernandes de Lima

Publication date: 30 September 2015

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2014.02.006

zbMATH Keywords

mean curvatureRiemannian product spacescomplete two-sided hypersurfacesentire vertical graphsangle of a hypersurfaceBochner's technique

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)

Related Items (6)

Rigidity of parabolic and stable spacelike hypersurfaces in a generalized Robertson-Walker spacetime ⋮ On the angle of complete hypersurfaces in semi-Riemannian product spaces ⋮ Curvature estimates for graphs in warped product spaces ⋮ Submanifolds immersed in a warped product with density ⋮ Submanifolds immersed in a warped product: Rigidity and nonexistence ⋮ Parabolicity and uniqueness of complete two-sided hypersurfaces immersed in a Riemannian warped product

Cites Work

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• A Bernstein-type theorem for Riemannian manifolds with a Killing field
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• A Bernstein type theorem in \(\mathbb R\times\mathbb H^n\)
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• Constant angle surfaces in \({\mathbb S}^2\times {\mathbb R}\)
• Isometric immersions of Riemannian manifolds
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• Entire vertical graphs in Riemannian product spaces
• Harmonic functions on complete riemannian manifolds
• Vector fields and Ricci curvature

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