On the stability and parabolicity of complete \(f\)-minimal hypersurfaces in weighted warped products

DOI10.1007/s00025-018-0769-xzbMath1386.53074OpenAlexW2789584753MaRDI QIDQ1743221

Fábio R. dos Santos, Henrique Fernandes de Lima, Eudes Leite de Lima

Publication date: 13 April 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0769-x

zbMATH Keywords

Bakry-Émery-Ricci tensor\(f\)-Laplacian\(f\)-stability\(f\)-minimal two-sided hypersurfaces\(f\)-parabolicityweighted warped products

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 (4)

Entire translating graphs in weighted product spaces: rigidity and nonexistence results ⋮ Two-sided hypersurfaces, entire Killing graphs and the mean curvature equation in warped products with density ⋮ Maximum principles applied to translating solitons of the mean curvature flow in product spaces ⋮ Unnamed Item

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