The rigidity of hypersurface in Euclidean space

2016/10/18 by Chunhe Li, Yanyan Xu, Li, Chunhe +1
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Geometric Analysis and Curvature Flows #Nonlinear Waves and Solitons #math.DG #msc:53C24 #msc:53C45

paper · pdf · doi:10.48550/arxiv.1610.05414

arxiv created 2016/10/18 · arxiv updated 2016/10/19

Abstract

In the present paper, we revisit the rigidity of hypersurfaces in Euclidean space. We highlight Darboux equation and give new proof of rigidity of hypersurfaces by energy method and maximal principle.

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