Two-sided hypersurfaces, entire Killing graphs and the mean curvature equation in warped products with density
DOI10.1016/j.difgeo.2020.101623zbMath1437.53047OpenAlexW3014026805WikidataQ115354806 ScholiaQ115354806MaRDI QIDQ2176109
André F. A. Ramalho, Henrique Fernandes de Lima, Marco Antonio L. Velásquez
Publication date: 4 May 2020
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.difgeo.2020.101623
Bakry-Émery-Ricci tensor\(f\)-mean curvaturemean curvature equation\(f\)-parabolic hypersurfacesentire Killing graphsweighted Killing warped product spaces
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 (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On Bernstein-type properties of complete hypersurfaces in weighted warped products
- Entire bounded constant mean curvature Killing graphs
- Stability properties and topology at infinity of \(f\)-minimal hypersurfaces
- Rough isometries, and combinatorial approximations of geometries of non- compact Riemannian manifolds
- Comparison geometry for the Bakry-Emery Ricci tensor
- A Bernstein-type theorem for Riemannian manifolds with a Killing field
- Killing graphs with prescribed mean curvature
- Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature
- Isoperimetry of waists and concentration of maps
- Rigidity of entire graphs in weighted product spaces with nonnegative Bakry-Émery-Ricci tensor
- On the stability and parabolicity of complete \(f\)-minimal hypersurfaces in weighted warped products
- Liouville type results for two-sided hypersurfaces in weighted Killing warped products
- Parabolicity criteria and characterization results for submanifolds of bounded mean curvature in model manifolds with weights
- Gradient Schrödinger operators, manifolds with density and applications
- Entire unbounded constant mean curvature Killing graphs
- On the uniqueness of complete two-sided hypersurfaces immersed in a class of weighted warped products
- A Bernstein type theorem for self-similar shrinkers
- Bernstein type theorem for entire weighted minimal graphs in \(\mathbb G^n{\times}\mathbb R\)
- Variétés kählériennes à première classe de Chern non negative et variétés riemanniennes à courbure de Ricci généralisée non negative. (Kählerian manifolds of non-negative first Chern class and Riemannian manifolds with non-negative generalized Ricci curvature)
- Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
- Escape rate of brownian motion on riemanian manifolds
- Dirichlet heat kernel in the exterior of a compact set
This page was built for publication: Two-sided hypersurfaces, entire Killing graphs and the mean curvature equation in warped products with density
