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GEOMETRY OF COMPLETE HYPERSURFACES EVOLVED BY MEAN CURVATURE FLOW

WEIMIN SHENG

Department of Mathematics, Zhejiang University, 148 Tianmushan Road, Hangzhou 310028, Zhejiang, China

https://doi.org/10.1142/S025295990300013XCited by:2 (Source: Crossref)

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.

Project supported by the National Natrual Science Foundation of China (No. 10271106) and the Natrual Science Foundation of Zhejiang Province, China (No. 102033).

Document Code: A, Article ID: 0252-9599(2003)01-0123-10.

Keywords:

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