A simple proof for Bernstein type theorems in Gauss space

2018/03/01 by Doan, Hieu, Doan The
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1803.00278

openalex publication_date 2018/03/01 · openalex created_date 2018/03/29 · openalex updated_date 2026/07/28

Abstract

A weighted area estimate for entire graphs with bounded weighted mean curvature in Gauss space is given by a simple proof. Bernstein type theorems for self shrinkers (\cite wa) as well as for graphic λ-hypersurfaces (\cite chwe2) follow immediately as consequences.

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