Rigidity and mean curvature flow via harmonic Gauss maps

doi:10.1007/s11464-006-0012-z

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Front. Math. China ›› 2006, Vol. 1 ›› Issue (3) : 325-338. DOI: 10.1007/s11464-006-0012-z

Rigidity and mean curvature flow via harmonic Gauss maps

XIN Yuanlong

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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.

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XIN Yuanlong. Rigidity and mean curvature flow via harmonic Gauss maps. Front. Math. China, 2006, 1(3): 325‒338 https://doi.org/10.1007/s11464-006-0012-z