$\boldsymbol{O(m) \times O(n)}$ -invariant homothetic solitons for inverse mean curvature flow in $\boldsymbol {\mathbb{R}^{m+n}}$

DOI10.1088/1361-6544/ab272bzbMath1430.53103OpenAlexW3107438786MaRDI QIDQ5233233

Daehwan Kim, Juncheol Pyo

Publication date: 16 September 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ab272b

zbMATH Keywords

inverse mean curvature flowrotational surfaceshomothetic soliton

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Dynamics induced by flows and semiflows (37C10) Flows related to mean curvature (53E10)

Related Items (5)

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 ⋮ Self-similar solutions to the inverse mean curvature flow in \(\mathbb{R}^2\) ⋮ Half-space type theorem for translating solitons of the mean curvature flow in Euclidean space

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