Lagrangian homothetic solitons for the inverse mean curvature flow

DOI10.1007/s00025-016-0574-3zbMath1377.53023arXiv1511.03826OpenAlexW2463439282MaRDI QIDQ2410842

Ana M. Lerma, Ildefonso Castro

Publication date: 19 October 2017

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.03826

zbMATH Keywords

Clifford torussolitonsLagrangian submanifoldsinverse mean curvature flow

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Lagrangian submanifolds; Maslov index (53D12) Local submanifolds (53B25)

Related Items (9)

Inverse mean curvature flows in warped product manifolds ⋮ Parabolicity, Brownian exit time and properness of solitons of the direct and inverse mean curvature flow ⋮ 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 ⋮ 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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