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| GEOMETRY OF COMPLETE HYPERSURFACES EVOLVED BY MEAN CURVATURE FLOW |
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Citation： |
SHENG Weimin.GEOMETRY OF COMPLETE HYPERSURFACES EVOLVED BY MEAN CURVATURE FLOW[J].Chinese Annals of Mathematics B,2003,24(1):123~132 |
| Page view： 1220
Net amount： 753 |
Authors： |
SHENG Weimin; |
Foundation： |
Project supported by the National Natrual Science Foundation of China (No.10271106) and the Natrual
Science Foundation of Zhejiang Province, China (No.102033). |
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| Abstract： |
Some geometric behaviours of complete solutions to mean curvature flow before the singularities
occur are studied. The author obtains the estimates of the rate of the distance between
two fixed points and the derivatives of the second fundamental form. By use of a new maximum
principle, some geometric properties at infinity are obtained. |
Keywords： |
Mean curvature flow, Maximum principle, Complete hypersurfaces |
Classification： |
53C44 |
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