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| CONVEXITY AND SYMMETRY OF TRANSLATING SOLITONS IN MEAN CURVATURE FLOWS |
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Citation： |
JIAN Huaiyu,LIU Qinghua,CHEN Xiuqing.CONVEXITY AND SYMMETRY OF TRANSLATING SOLITONS IN MEAN CURVATURE FLOWS[J].Chinese Annals of Mathematics B,2005,26(3):413~422 |
| Page view： 1412
Net amount： 868 |
Authors： |
JIAN Huaiyu; LIU Qinghua;CHEN Xiuqing |
Foundation： |
Project supported by the 973 Project of the Ministry of Science and Technology of China and the Trans-Century Training Programme Foundation for the Talents by the Ministry of Education of China. |
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| Abstract： |
This paper proves that any rotationally symmetric translating soliton of mean curvature flow in $R^3$ is strictly convex if it is not a plane and it intersects its symmetric axis at one point. The authors also study the symmetry of any translating soliton of mean curvature flow in $R^n.$ |
Keywords： |
Convexity, Soliton, Mean curvature flow, Rotationally symmetric surface |
Classification： |
35J60, 52C44 |
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