Translating solitons of the mean curvature flow |
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| Authors: | Y L Xin |
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| Institution: | 1.Institute of Mathematics,Fudan University,Shanghai,China |
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| Abstract: | We study some basic properties 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. These estimates give rigidity theorems for translating solitons in the Euclidean space in higher codimension. |
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