A new monotone quantity along the inverse mean curvature flow in \(\mathbb R^n\)

DOI10.2140/pjm.2014.267.417zbMath1295.53074arXiv1212.1906OpenAlexW3106163024MaRDI QIDQ2510048

Kwok-Kun Kwong, Pengzi Miao

Publication date: 31 July 2014

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

Full work available at URL: https://arxiv.org/abs/1212.1906

zbMATH Keywords

volumestar-shaped hypersurfacesweighted total mean curvature

Mathematics Subject Classification ID

Related Items (14)

Inverse mean curvature flows in warped product manifolds ⋮ On an inverse curvature flow in two-dimensional space forms ⋮ Monotone quantities involving a weighted σ_k integral along inverse curvature flows ⋮ Remarks on solitons for inverse mean curvature flow ⋮ Translating solitons for the inverse mean curvature flow ⋮ Inverse curvature flows in Riemannian warped products ⋮ Weighted isoperimetric inequalities in warped product manifolds ⋮ Geometric inequalities involving three quantities in warped product manifolds ⋮ Weighted geometric inequalities for hypersurfaces in sub‐static manifolds ⋮ New weighted geometric inequalities for hypersurfaces in space forms ⋮ $\boldsymbol{O(m) \times O(n)}$ -invariant homothetic solitons for inverse mean curvature flow in $\boldsymbol {\mathbb{R}^{m+n}}$ ⋮ Minkowski inequalities and constrained inverse curvature flows in warped spaces ⋮ An extension of Hsiung-Minkowski formulas and some applications ⋮ A geometric inequality for convex free boundary hypersurfaces in the unit ball

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