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arxiv: 1611.03594 · v2 · pith:ZBAZ3GOBnew · submitted 2016-11-11 · 🧮 math.DG

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

classification 🧮 math.DG
keywords curvaturemeansolutionseternalflowlagrangianalmost-calibratednon-existence
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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.

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