Moser-type results in Riemannian product spaces

DOI10.1016/J.CRMA.2015.09.001zbMath1334.53026OpenAlexW1813564923WikidataQ115358197 ScholiaQ115358197MaRDI QIDQ5965056

Arlandson Matheus Silva Oliveira, Henrique Fernandes de Lima

Publication date: 2 March 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2015.09.001

zbMATH Keywords

mean curvatureangle functioncomplete hypersurfacesentire graphsRiemannian product spaces

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (5)

A Moser-Bernstein problem for Riemannian warped products ⋮ Maximum principles applied to translating solitons of the mean curvature flow in product spaces ⋮ On the mean curvature flow solitons in Riemannian spaces endowed with a Killing vector field ⋮ Rigidity of hypersurfaces and Moser-Bernstein type results in certain warped products, with applications to pseudo-hyperbolic spaces ⋮ New examples of Moser–Bernstein type problems for some nonlinear elliptic partial differential equations arising in geometry

Cites Work

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• Minimal surfaces in \(M^2\times \mathbb{R}\)
• Isometric immersions of Riemannian manifolds
• Minimal varieties in Riemannian manifolds
• Minimal cones and the Bernstein problem
• On Harnack's theorem for elliptic differential equations
• Harmonic functions on complete riemannian manifolds
• Graphs with Parallel Mean Curvature
• On S. Bernstein's Theorem on Surfaces z(x, y) of Nonpositive Curvature

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