Self-similar solutions to the inverse mean curvature flow in \(\mathbb{R}^2\)

DOI10.1007/s00025-020-01304-2zbMath1454.53078arXiv1807.06834OpenAlexW3095174044MaRDI QIDQ2210836

Jui-En Chang

Publication date: 8 November 2020

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

Full work available at URL: https://arxiv.org/abs/1807.06834

zbMATH Keywords

self-similar solutionssolitonsinverse mean curvature flowcomplete solutions

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Flows related to mean curvature (53E10)

Cites Work

• Unnamed Item
• Solitons for the inverse mean curvature flow
• On the expansion of starshaped hypersurfaces by symmetric functions of their principal curvatures
• Flow of nonconvex hypersurfaces into spheres
• An expansion of convex hypersurfaces
• The inverse mean curvature flow and the Riemannian Penrose inequality
• Convex curves moving homothetically by negative powers of their curvature
• Classification of prime 3-manifolds with \(\sigma\) invariant greater than \(\mathbb RP^3\)
• Lagrangian homothetic solitons for the inverse mean curvature flow
• Translating solitons for the inverse mean curvature flow
• Self-similar solutions to the curve shortening flow
• Rotational symmetry of self‐expanders to the inverse mean curvature flow with cylindrical ends
• Classification of limiting shapes for isotropic curve flows
• $\boldsymbol{O(m) \times O(n)}$ -invariant homothetic solitons for inverse mean curvature flow in $\boldsymbol {\mathbb{R}^{m+n}}$
• Remarks on the inverse mean curvature flow

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