The translating soliton of mean curvature flow
classification
🧮 math.DG
keywords
estimatestranslatinggaussmapssolitonsbasiccarrycertain
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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.
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