On the stability and parabolicity of complete \(f\)-minimal hypersurfaces in weighted warped products
type: Item
instance of: scholarly article
title: On the stability and parabolicity of complete \(f\)-minimal hypersurfaces in weighted warped products
zbMATH Open document ID: 1386.53074
author: Fábio R. dos Santos
author: Eudes L. De Lima
author: Henrique Fernandes de Lima
published in: Results in Mathematics
publication date: 2018-04-13T00:00:00Z
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 6859327
zbMATH Keywords: weighted warped products
zbMATH Keywords: Bakry-Émery-Ricci tensor
zbMATH Keywords: \(f\)-Laplacian
zbMATH Keywords: \(f\)-minimal two-sided hypersurfaces
zbMATH Keywords: \(f\)-stability
zbMATH Keywords: \(f\)-parabolicity
MaRDI profile type: Publication
full work available at URL: s00025-018-0769-x
OpenAlex ID: W2789584753
cites work: Stable minimal surfaces in Riemannian warped products
cites work: CONSTANT MEAN CURVATURE HYPERSURFACES IN WARPED PRODUCT SPACES
cites work: Q4720334
cites work: Complete vertical graphs with constant mean curvature in semi-Riemannian warped products
cites work: Compact stable hypersurfaces with free boundary in convex solid cones with homogeneous densities
cites work: On the Stability of $f$-Maximal Spacelike Hypersurfaces in Weighted Generalized Robertson–Walker Spacetimes
cites work: Q4003026
cites work: On Bernstein-type properties of complete hypersurfaces in weighted warped products
cites work: Stability and compactness for complete 𝑓-minimal surfaces
cites work: Gradient Schrödinger operators, manifolds with density and applications
cites work: Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature
cites work: Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
cites work: Escape rate of brownian motion on riemanian manifolds
cites work: Isoperimetry of waists and concentration of maps
cites work: Bernstein type theorem for entire weighted minimal graphs in \(\mathbb G^n{\times}\mathbb R\)
cites work: The structure of \({\varphi}\)-stable minimal hypersurfaces in manifolds of nonnegative \(P\)-scalar curvature
cites work: Stability properties and topology at infinity of \(f\)-minimal hypersurfaces
cites work: Rough isometries, and combinatorial approximations of geometries of non- compact Riemannian manifolds
cites work: Q5565587
cites work: Stable weighted minimal surfaces in manifolds with non-negative Bakry-Emery Ricci tensor
cites work: Q5312205
cites work: Positively curved shrinking Ricci solitons are compact
cites work: Q3312869
cites work: Uniqueness of complete maximal hypersurfaces in spatially parabolic generalized Robertson-Walker spacetimes
cites work: On the isoperimetric problem in Euclidean space with density
cites work: Uniqueness of \(\phi\)-minimal hypersurfaces in warped product manifolds
cites work: Comparison geometry for the Bakry-Emery Ricci tensor
DOI: 10.1007/S00025-018-0769-X
description: scientific article; zbMATH DE number 6859327