Article ID Journal Published Year Pages File Type
4606029 Differential Geometry and its Applications 2013 9 Pages PDF
Abstract

In this paper, we prove a gap theorem for translating solitons to the almost calibrated Lagrangian mean curvature flow. More precisely, we prove that there exists a constant λ>0λ>0 such that if |H|2⩽λ|T|2|H|2⩽λ|T|2, then the translating soliton must be a plane. We also obtain a similar result for symplectic mean curvature flow.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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