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arXiv · 0711.4341

Translating solutions to Lagrangian mean curvature flow

André Neves·Gang Tian
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Abstract

We prove some non-existence theorems for translating solutions to Lagrangian mean curvature flow. More precisely, we show that translating solutions with an $L^2$ bound on the mean curvature are planes and that almost-calibrated translating solutions which are static are also planes. Recent work of D. Joyce, Y.-I. Lee, and M.-P. Tsui, shows that these conditions are optimal.

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André Neves, Gang Tian. 2007-11-27. Translating solutions to Lagrangian mean curvature flow. https://arxiv.org/abs/0711.4341

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