Inverse mean curvature flows in warped product manifolds

DOI10.1007/s12220-017-9887-zzbMath1393.53069arXiv1609.09665OpenAlexW3099150783MaRDI QIDQ1651389

Hengyu Zhou

Publication date: 12 July 2018

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.09665

zbMATH Keywords

asymptotic behaviorinverse mean curvature flowwarped product manifold

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Quasilinear elliptic equations with mean curvature operator (35J93) Quasilinear parabolic equations with mean curvature operator (35K93)

Related Items

Evolution of noncompact hypersurfaces by inverse mean curvature ⋮ The area minimizing problem in conformal cones. II ⋮ Stability of the PMT and RPI for asymptotically hyperbolic manifolds foliated by IMCF ⋮ Inverse curvature flows in Riemannian warped products ⋮ Geometric inequalities involving three quantities in warped product manifolds ⋮ The asymptotic behaviour of \(p\)-capacitary potentials in asymptotically conical manifolds ⋮ Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature ⋮ The boundary behavior of domains with complete translating, minimal and CMC graphs in \(N^2\times\mathbb{R}\) ⋮ Hyperbolic inverse mean curvature flow ⋮ Surfaces expanding by non-concave curvature functions ⋮ Sobolev stability of the positive mass theorem and Riemannian Penrose inequality using inverse mean curvature flow ⋮ Asymptotic convergence for a class of inverse mean curvature flows in ℝⁿ⁺¹ ⋮ Minkowski inequalities and constrained inverse curvature flows in warped spaces

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