Frontiers of Mathematics in China >

2006 , Vol. 1 >Issue 3: 325 - 338

DOI: https://doi.org/10.1007/s11464-006-0012-z

Rigidity and mean curvature flow via harmonic Gauss maps

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  • Institute of Mathematics, Fudan University, Shanghai 200433, Chin; Key Laboratory of Mathematics for Nonlinear Sciences (Fudan University), Ministry of Education of the People′s Republic of China, Shanghai 200433, China

Published date: 05 Sep 2006

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Abstract

We investigate properties of harmonic Gauss maps and their applications to Lawson-Osserman s problem, to the rigidity of space-like submanifolds in a pseudo-Euclidean space and to the mean curvature flow.

Cite this article

XIN Yuanlong . Rigidity and mean curvature flow via harmonic Gauss maps[J]. Frontiers of Mathematics in China, 2006 , 1(3) : 325 -338 . DOI: 10.1007/s11464-006-0012-z

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