Translating solutions to Lagrangian mean curvature flow

Details Translating solutions to Lagrangian mean curvature flow Translating solutions to Lagrangian mean curvature flow

2007-11-27

arxiv.org/abs/0711.4341v1

Mathematics

Differential Geometry

26 pages, 1 figure, submitted

Scientific paper

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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