Ricci Curvature and Gauss Maps of Minimal Submanifolds

2009/09/13 by Richard Atkins, Atkins, Richard
Mathematics · Physics and Astronomy · #53C42 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53C42

paper · pdf · doi:10.48550/arxiv.0909.2420

4 pages; proofs omitted

arxiv created 2009/09/13 · openalex publication_date 2009/09/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present conditions on the Ricci curvature for complete, oriented, minimal submanifolds of Euclidean space, as well as the standard unit sphere, when the Gauss maps are bounded embeddings.

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