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

Abstract

In this paper, we derive a mean curvature estimate for eternal solutions (including translating solutions) of almost-calibrated Lagrangian mean curvature flow in complex Euclidean space. As a consequence, we show a non-existence result for eternal solutions of almost-calibrated Lagrangian mean curvature flow.

arXiv comment10 pages. Title is changed. Minor corrections

References in corpus (2)

• A canonical way to deform a Lagrangian submanifold
• Mean curvature flow with flat normal bundles