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Generalized soap bubbles and the topology of manifolds with positive scalar curvature

Annals of Mathematics, 2020
We prove that for $n\in \{4,5\}$, a closed aspherical $n$-manifold does not admit a Riemannian metric with positive scalar curvature. Additionally, we show that for $n\leq 7$, the connected sum of a $n$-torus with an arbitrary manifold does not admit a ...
Otis Chodosh, Chao Li
semanticscholar   +1 more source

Scalar curvature

Graduate Studies in Mathematics, 2019
MA M.I.T Cambridge
semanticscholar   +2 more sources

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