Rigidity and mean curvature flow via harmonic Gauss maps

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.

Keywords

minimal submanifold / Gauss map / mean curvature flow / 53A07 / 53A10 / 53C44

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