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arxiv: 1109.2960 · v2 · pith:TAOQ7PRRnew · submitted 2011-09-14 · 🧮 math.DG

Scalar curvature rigidity with a volume constraint

classification 🧮 math.DG
keywords curvaturerigidityscalarvolumeappliesbrendle-marques-nevesconjectureconstrained
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Motivated by Brendle-Marques-Neves' counterexample to the Min-Oo's conjecture, we prove a volume constrained scalar curvature rigidity theorem which applies to the hemisphere.

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