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arxiv: 1312.5392 · v1 · pith:XYTF2JQMnew · submitted 2013-12-19 · 🧮 math.DG · math.AP

Free boundary minimal annuli in convex three-manifolds

classification 🧮 math.DG math.AP
keywords convexannuliboundaryfreeminimalcurvaturedomainseuclidean
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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 $\mathbb{R}^3$.

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