Gauss map of translating solitons of mean curvature flow

2013/01/17 by Chao Bao, Bao, Chao, Yuguang Shi +1
Mathematics · Physics and Astronomy · #53C25 (Primary) 58J05 (Secondary) #Advanced Differential Geometry Research #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1301.4065

openalex publication_date 2013/01/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this short note we study Bernstein's type theorem of translating solitons whose images of their Gauss maps are contained in compact subsets in an open hemisphere of the standard Sⁿ (see Theorem 1.1). As a special case we get a classical Bernstein's type theorem in minimal submanifolds in Rⁿ⁺¹ (see Corollary 1.2).

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