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Free boundary minimal annuli in convex three-manifolds

2013/12/19 by Maximo, Davi, Nunes, Ivaldo, Smith, Graham · 3 citations
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1312.5392

Abstract

We prove the existence of free boundary minimal annuli inside suitably convex subsets of three-dimensional Riemannian manifolds with nonnegative Ricci curvature - including strictly convex domains of the Euclidean space ℝ3.

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