A new monotone quantity along the inverse mean curvature flow in ℝn

Kwok Kun Kwong, Pengzi Miao

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We find a new monotone increasing quantity along smooth solutions to the inverse mean curvature flow in ℝn. As an application, we derive a sharp geometric inequality for mean convex, star-shaped hypersurfaces which relates the volume enclosed by a hypersurface to a weighted total mean curvature of the hypersurface.

Original languageEnglish (US)
Pages (from-to)417-422
Number of pages6
JournalPacific Journal of Mathematics
Volume267
Issue number2
DOIs
StatePublished - 2014

Fingerprint

Mean Curvature Flow
Hypersurface
Monotone
Geometric Inequalities
Sharp Inequality
Total curvature
Smooth Solution
Mean Curvature
Star

Keywords

  • Inverse mean curvature flow

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

A new monotone quantity along the inverse mean curvature flow in ℝn . / Kwong, Kwok Kun; Miao, Pengzi.

In: Pacific Journal of Mathematics, Vol. 267, No. 2, 2014, p. 417-422.

Research output: Contribution to journalArticle

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