Solitons for the inverse mean curvature flow

DOI10.2140/pjm.2016.284.309zbMath1346.53059arXiv1505.00183OpenAlexW3104992182MaRDI QIDQ310911

Glen Wheeler, Gregory Drugan, Ho-Joo Lee

Publication date: 9 September 2016

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.00183

zbMATH Keywords

self-similar solutionsinverse mean curvature flowinfinite bottles

Mathematics Subject Classification ID

Related Items (15)

Parabolicity, Brownian exit time and properness of solitons of the direct and inverse mean curvature flow ⋮ Lagrangian homothetic solitons for the inverse mean curvature flow ⋮ Existence of hypercylinder expanders of the inverse mean curvature flow ⋮ \(\ell\)-convex Legendre curves and geometric inequalities ⋮ Self-similar solutions to the curvature flow and its inverse on the 2-dimensional light cone ⋮ Classification of ruled surfaces as homothetic self-similar solutions of the inverse mean curvature flow in the Lorentz-Minkowski 3-space ⋮ Remarks on solitons for inverse mean curvature flow ⋮ Translating solitons for the inverse mean curvature flow ⋮ Inverse curvature flows in Riemannian warped products ⋮ Strong spherical rigidity of ancient solutions of expansive curvature flows ⋮ Poincaré type inequality for hypersurfaces and rigidity results ⋮ Generalized elastic translating solitons ⋮ Uniqueness theorems of self-conformal solutions to inverse curvature flows ⋮ Self-similar solutions to the inverse mean curvature flow in \(\mathbb{R}^2\) ⋮ $\boldsymbol{O(m) \times O(n)}$ -invariant homothetic solitons for inverse mean curvature flow in $\boldsymbol {\mathbb{R}^{m+n}}$

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