Liouville type results for two-sided hypersurfaces in weighted Killing warped products
type: Item
instance of: scholarly article
title: Liouville type results for two-sided hypersurfaces in weighted Killing warped products
zbMATH Open document ID: 1386.53069
author: Eraldo jun. Lima
author: Márcio S. Santos
author: Henrique Fernandes de Lima
author: Adriano A. Medeiros
published in: Bulletin of the Brazilian Mathematical Society. New Series
publication date: 2018-04-13T00:00:00Z
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53B25
zbMATH DE Number: 6859573
zbMATH Keywords: Killing warped products
zbMATH Keywords: weighted manifolds
zbMATH Keywords: Bakry-Émery-Ricci tensor
zbMATH Keywords: drifting Laplacian
zbMATH Keywords: weighted mean curvature
zbMATH Keywords: complete two-sided hypersurfaces
MaRDI profile type: Publication
full work available at URL: s00574-017-0043-y
OpenAlex ID: W2637795310
cites work: A Bernstein-type theorem for Riemannian manifolds with a Killing field
cites work: Stability of hypersurfaces of constant mean curvature in Riemannian manifolds
cites work: Q5186515
cites work: On the \(L ^{1}\)-Liouville property of stochastically incomplete manifolds
cites work: The 𝐿¹ Liouville Property on Weighted Manifolds
cites work: Bernstein type properties of two-sided hypersurfaces immersed in a Killing warped product
cites work: Killing graphs with prescribed mean curvature
cites work: Entire bounded constant mean curvature Killing graphs
cites work: Entire unbounded constant mean curvature Killing graphs
cites work: Stochastic calculus in manifolds. With an appendix by P.A. Meyer
cites work: Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
cites work: Dirichlet heat kernel in the exterior of a compact set
cites work: Isoperimetry of waists and concentration of maps
cites work: Stability properties and topology at infinity of \(f\)-minimal hypersurfaces
cites work: Q5609089
cites work: Q2550561
cites work: Q5312205
cites work: Q3312869
cites work: A remark on the maximum principle and stochastic completeness
cites work: Maximum principles on Riemannian manifolds and applications
cites work: \(L^p\)-Liouville theorems on complete smooth metric measure spaces
cites work: Q4933739
cites work: Q4310716
cites work: Harmonic forms on manifolds with non-negative Bakry-Émery-Ricci curvature
cites work: Comparison geometry for the Bakry-Emery Ricci tensor
cites work: Harmonic functions on complete riemannian manifolds
cites work: Q4102442
DOI: 10.1007/S00574-017-0043-Y
Recommended article: Two-sided hypersurfaces, entire Killing graphs and the mean curvature equation in warped products with density
Recommended article: Bernstein type properties of two-sided hypersurfaces immersed in a Killing warped product
Recommended article: Parabolicity and rigidity of two-sided hypersurfaces in Killing warped products
Recommended article: On the uniqueness of complete two-sided hypersurfaces immersed in a class of weighted warped products
Recommended article: A Liouville-type theorem for some Weingarten hypersurfaces
Recommended article: Local rigidity, bifurcation, and stability of \(H_f\)-hypersurfaces in weighted Killing warped products
Recommended article: A note on Weingarten hypersurfaces in the warped product manifold
Recommended article: $2-$Killing Vector Fields on Warped Product Manifolds
Recommended article: Q3615317
Recommended article: Two results on the weighted Poincaré inequality on complete Kähler manifolds
description: scientific article; zbMATH DE number 6859573