| CONVEXITY AND SYMMETRY OF TRANSLATING SOLITONS IN MEAN CURVATURE FLOWS |
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| 引用本文： | JIAN Huaiyu,LIU Qinghu,CHEN Xiuqing. CONVEXITY AND SYMMETRY OF TRANSLATING SOLITONS IN MEAN CURVATURE FLOWS[J]. 数学年刊B辑(英文版), 2005, 26(3): 413-422 |
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| 作者姓名： | JIAN Huaiyu LIU Qinghu CHEN Xiuqing |
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| 作者单位： | JIAN HUAIYU LIU QINGHUA CHEN XIUQING Department of Mathematical Sciences，Tsinghua University，Beijing 100084，China. Department of Mathematical Sciences，Tsinghua University，Beijing 100084，China. |
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| 基金项目： | 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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| 摘 要： | This paper proves that any rotationally symmetric translating soliton of mean curvature flow in R3 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 Rn.
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| 关 键 词： | 凸空间 孤波 平均曲率流 旋转对称表面 光滑流形 |
| 收稿时间： | 2019-01-04 |
| 修稿时间： | 2010-11-04 |
CONVEXITY AND SYMMETRY OF TRANSLATING SOLITONS IN MEAN CURVATURE FLOWS |
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| JIAN Huaiyu,LIU Qinghua and CHEN Xiuqing. CONVEXITY AND SYMMETRY OF TRANSLATING SOLITONS IN MEAN CURVATURE FLOWS[J]. Chinese Annals of Mathematics,Series B, 2005, 26(3): 413-422 |
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| Authors: | JIAN Huaiyu LIU Qinghua CHEN Xiuqing |
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| Affiliation: | Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China |
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| Abstract: | This paper proves that any rotationally symmetric translating soliton of mean curvature flow in R3 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 Rn. |
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| Keywords: | Convexity Soliton Mean curvature flow Rotationally symmetric surface |
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