Rigidity Results on Lagrangian and Symplectic Translating Solitons

Abstract

In this short note, we prove that an almost calibrated Lagrangian translating soliton must be a plane if it has weighted integrable mean curvature vector or weighted quadratic area growth. Similar results are also true for symplectic translating solitons.

Keywords

Rigidity / Translating soliton / Almost calibrated Lagrangian / Symplectic

References

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