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The translating soliton of mean curvature flow

We study some basic problems of translating solitons: the volume growth, generalized maximum principle, Gauss maps and certain functions related to the Gauss maps, finally we carry out point-wise estimates and integral estimates for the squared norm of the second fundamental form. Those estimates give rigidity theorems for translating solitons in the Euclidean space in higher codimension.

preprint2014arXivOpen access
Y. L. Xin
math.DG
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Y. L. Xin

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