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

Kwok Kun Kwong, Pengzi Miao

Research output: Contribution to journalArticlepeer-review

13 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
Pages (from-to)417-422
Number of pages6
JournalPacific Journal of Mathematics
Volume267
Issue number2
DOIs
Publication statusPublished - 2014 Jan 1

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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