Another proof of the existence of homothetic solitons of the inverse mean curvature flow

DOI10.1515/ACV-2022-0092MaRDI QIDQ6623261

Shu-Yu Hsu

Publication date: 23 October 2024

Published in: Advances in the Calculus of Variations (Search for Journal in Brave)

zbMATH Keywords

inverse mean curvature flownon-compact homothetic solitons

Mathematics Subject Classification ID

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Cites Work

• Title not available (Why is that?)
• Solitons for the inverse mean curvature flow
• On the expansion of starshaped hypersurfaces by symmetric functions of their principal curvatures
• Evolution of noncompact hypersurfaces by inverse mean curvature
• Flow of nonconvex hypersurfaces into spheres
• Higher regularity of the inverse mean curvature flow
• The inverse mean curvature flow and the Riemannian Penrose inequality
• Existence of self-similar solutions of the inverse mean curvature flow
• Classification of prime 3-manifolds with \(\sigma\) invariant greater than \(\mathbb RP^3\)
• Inverse mean curvature evolution of entire graphs
• Translating solitons for the inverse mean curvature flow
• Existence of hypercylinder expanders of the inverse mean curvature flow
• $\boldsymbol{O(m) \times O(n)}$ -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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