Monotone quantities involving a weighted σk integral along inverse curvature flows

Kwok Kun Kwong, Pengzi Miao

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We give a family of monotone quantities along smooth solutions to the inverse curvature flows in Euclidean spaces. We also derive a related geometric inequality for closed hypersurfaces with positive kth mean curvature.

Original languageEnglish (US)
Article number1550014
JournalCommunications in Contemporary Mathematics
Issue number5
StatePublished - Oct 1 2015


  • inverse curvature flow
  • σ integral

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


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