On Bernstein-type properties of complete hypersurfaces in weighted warped products

DOI10.1007/s10231-014-0464-9zbMath1337.53077OpenAlexW1966965479WikidataQ125896386 ScholiaQ125896386MaRDI QIDQ268187

Márcio S. Santos, Henrique Fernandes de Lima, Marcos Petrúcio De A. Cavalcante

Publication date: 14 April 2016

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-014-0464-9

zbMATH Keywords

weighted manifoldswarped productsBakry-Émery-Ricci tensorcomplete two-sided hypersurfacesdrifting Laplacianweighted mean curvature

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Estimates of eigenvalues in context of PDEs (35P15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (9)

Uniqueness results and enclosure properties for hypersurfaces with boundary in weighted cylinders ⋮ Spacelike hypersurfaces in weighted generalized Robertson-Walker space-times ⋮ Two-sided hypersurfaces, entire Killing graphs and the mean curvature equation in warped products with density ⋮ On the uniqueness of complete two-sided hypersurfaces immersed in a class of weighted warped products ⋮ On Bernstein's problem of complete parabolic hypersurfaces in warped products ⋮ On the stability and parabolicity of complete \(f\)-minimal hypersurfaces in weighted warped products ⋮ Parabolicity criteria and characterization results for submanifolds of bounded mean curvature in model manifolds with weights ⋮ Uniqueness of complete hypersurfaces in weighted Riemannian warped products ⋮ New Bernstein type results in weighted warped products

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