Translating solutions to Lagrangian mean curvature flow
Differential Geometry
2007-11-28 v1 Analysis of PDEs
Abstract
We prove some non-existence theorems for translating solutions to Lagrangian mean curvature flow. More precisely, we show that translating solutions with an 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.
Cite
@article{arxiv.0711.4341,
title = {Translating solutions to Lagrangian mean curvature flow},
author = {André Neves and Gang Tian},
journal= {arXiv preprint arXiv:0711.4341},
year = {2007}
}
Comments
26 pages, 1 figure, submitted