Parabolicity criteria and characterization results for submanifolds of bounded mean curvature in model manifolds with weights
DOI10.1016/j.na.2019.111681zbMath1436.31025arXiv1805.10055OpenAlexW2984707421WikidataQ126207753 ScholiaQ126207753MaRDI QIDQ1985802
César Rosales, Vicente Palmer, Ana Hurtado
Publication date: 7 April 2020
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.10055
submanifoldrotationally symmetric manifold\(h\)-capacity \(h\)-parabolicity\(h\)-hyperbolicity\(h\)-mean curvature
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Potential theory on Riemannian manifolds and other spaces (31C12) Quasilinear elliptic equations with mean curvature operator (35J93)
Related Items (4)
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
- Embedded self-similar shrinkers of genus 0
- An isoperimetric inequality for Gauss-like product measures
- Generic mean curvature flow. I: Generic singularities
- Smooth compactness of self-shrinkers
- Compact stable hypersurfaces with free boundary in convex solid cones with homogeneous densities
- Isoperimetric and stable sets for log-concave perturbations of Gaussian measures
- Function theory on manifolds which possess a pole
- A note on the \(p\)-parabolicity of submanifolds
- \(p\)-capacity and \(p\)-hyperbolicity of submanifolds
- Stability properties and topology at infinity of \(f\)-minimal hypersurfaces
- The strong halfspace theorem for minimal surfaces
- Some isoperimetric problems in planes with density
- Extrinsic isoperimetric analysis on submanifolds with curvatures bounded from below
- Stability of translating solutions to mean curvature flow
- On the topology of translating solitons of the mean curvature flow
- Mean curvature evolution of entire graphs
- The structure of \({\varphi}\)-stable minimal hypersurfaces in manifolds of nonnegative \(P\)-scalar curvature
- Isoperimetry of waists and concentration of maps
- Hitting probabilities for Brownian motion on Riemannian manifolds.
- Transience and capacity of minimal submanifolds
- Stability and geometric properties of constant weighted mean curvature hypersurfaces in gradient Ricci solitons
- Height estimates and half-space type theorems in weighted product spaces with nonnegative Bakry-Émery-Ricci curvature
- Rigidity of entire graphs in weighted product spaces with nonnegative Bakry-Émery-Ricci tensor
- Geometric properties of self-shrinkers in cylinder shrinking Ricci solitons
- Spectral properties and rigidity for self-expanding solutions of the mean curvature flows
- A gap theorem for self-shrinkers of the mean curvature flow in arbitrary codimension
- Invariant surfaces in Euclidean space with a log-linear density
- Gradient Schrödinger operators, manifolds with density and applications
- Proof of the log-convex density conjecture
- Parabolicity and stochastic completeness of manifolds in terms of the Green formula
- A Bernstein type theorem for self-similar shrinkers
- Complete self-shrinkers confined into some regions of the space
- Free boundary stable hypersurfaces in manifolds with density and rigidity results
- Bernstein type theorem for entire weighted minimal graphs in \(\mathbb G^n{\times}\mathbb R\)
- Stable weighted minimal surfaces in manifolds with non-negative Bakry-Emery Ricci tensor
- On the isoperimetric problem in Euclidean space with density
- Halfspace type theorems for self-shrinkers
- Gauss maps of translating solitons of mean curvature flow
- Topology of three-manifolds with positive 𝑃-scalar curvature
- Elliptic Partial Differential Equations of Second Order
- Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
- Escape rate of brownian motion on riemanian manifolds
- How to obtain transience from bounded radial mean curvature
- Volume estimate about shrinkers
- On the characterization of parabolicity and hyperbolicity of submanifolds
- Stability and compactness for complete 𝑓-minimal surfaces
This page was built for publication: Parabolicity criteria and characterization results for submanifolds of bounded mean curvature in model manifolds with weights