Non-existence of eternal solutions to Lagrangian mean curvature flow with non-negative Ricci curvature

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Abstract

In this paper, we derive a mean curvature estimate for eternal solutions of uniformly almost calibrated Lagrangian mean curvature flow with non-negative Ricci curvature in the complex Euclidean space. As a consequence, we show a non-existence result for such eternal solutions.

Original languageEnglish
Pages (from-to)369-377
Number of pages9
JournalGeometriae Dedicata
Volume201
Issue number1
DOIs
Publication statusPublished - 2019 Aug 1

Keywords

  • Eternal solution
  • Mean curvature flow

ASJC Scopus subject areas

  • Geometry and Topology

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