Uniqueness of entire graphs in warped products

DOI10.1016/j.jmaa.2015.04.073zbMath1318.53058OpenAlexW2023835303WikidataQ125116857 ScholiaQ125116857MaRDI QIDQ2348401

Henrique Fernandes de Lima, Luis J. Alías, Antonio Gervásio Colares

Publication date: 12 June 2015

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.2015.04.073

zbMATH Keywords

entire graphswarped productshigher-order mean curvaturesheight functionminimal graphsradial graphs

Mathematics Subject Classification ID

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

Related Items (12)

Rigidity of complete hypersurfaces in warped product spaces via higher order mean curvatures ⋮ Height estimates and topology at infinity of hypersurfaces immersed in a certain class of warped products ⋮ On the uniqueness of complete two-sided hypersurfaces immersed in a class of weighted warped products ⋮ Rigidity and nonexistence of complete hypersurfaces via Liouville type results and other maximum principles, with applications to entire graphs ⋮ Curvature estimates for graphs in warped product spaces ⋮ Aspects of mean curvature flow solitons in warped products ⋮ Sharp estimates for the first stability eigenvalue of surfaces in the presence of a closed conformal vector field ⋮ Rigidity of hypersurfaces and Moser-Bernstein type results in certain warped products, with applications to pseudo-hyperbolic spaces ⋮ Unnamed Item ⋮ Uniqueness of entire graphs in Riemannian warped products ⋮ On the first stability eigenvalue of CMC surfaces into warped products with two-dimensional fiber ⋮ Revisiting the geometry of horospheres of the hyperbolic space

Cites Work

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• INTEGRAL FORMULAE FOR SPACELIKE HYPERSURFACES IN CONFORMALLY STATIONARY SPACETIMES AND APPLICATIONS
• Hypersurfaces of constant higher order mean curvature in warped products
• Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson–Walker spacetimes
• CONSTANT MEAN CURVATURE HYPERSURFACES IN WARPED PRODUCT SPACES

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