On Ecker’s local integral quantity at infinity for ancient mean curvature flows

Keita Kunikawa

Research output: Contribution to journalArticlepeer-review

Abstract

We point out that Ecker’s local integral quantity agrees with Huisken’s global integral quantity at infinity for ancient mean curvature flows if Huisken’s one is finite on each time-slice. In particular, this means that the finiteness of Ecker’s integral quantity at infinity implies the finiteness of the entropy at infinity.

Original languageEnglish
Pages (from-to)253-266
Number of pages14
JournalAnnals of Global Analysis and Geometry
Volume58
Issue number3
DOIs
Publication statusPublished - 2020 Oct 1

Keywords

  • Ancient solution
  • Mean curvature flow
  • Monotonicity formula

ASJC Scopus subject areas

  • Analysis
  • Political Science and International Relations
  • Geometry and Topology

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