Rigidity of area-minimizing two-spheres in three-manifolds

arxiv: 1002.2814 · v2 · pith:ONLTX72Tnew · submitted 2010-02-15 · 🧮 math.DG · math.AP

Rigidity of area-minimizing two-spheres in three-manifolds

H. Bray , S. Brendle , A. Neves This is my paper

classification 🧮 math.DG math.AP

keywords areaarea-minimizingboundcovercurvaturecylinderequalitygive

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We give a sharp upper bound for the area of a minimal two-sphere in a three-manifold (M,g) with positive scalar curvature. If equality holds, we show that the universal cover of (M,g) is isometric to a cylinder.

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Rigidity of area-minimizing two-spheres in three-manifolds

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