An estimate for the Gauss curvature of minimal surfaces in \mathbb R^m whose Gauss map omits a set of hyperplanes

1996/04/23 by Robert Osserman, Min Ru, Osserman, Robert +1
Mathematics · #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.math/9604225

openalex publication_date 1996/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an estimate of the Gauss curvature for minimal surfaces in \mathbb R^m whose Gauss map omits more than m(m+1)/2 hyperplanes in \mathbb P^m-1(\mathbb C).

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