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- W4313445089 abstract "In this article, we classify (non-compact) $3$-manifolds with uniformly positive scalar curvature. Precisely, we show that an oriented $3$-manifold has a complete metric with uniformly positive scalar curvature if and only if it is homeomorphic to an (possibly) infinite connected sum of spherical $3$-manifolds and some copies of $mathbb{S}^1times mathbb{S}^2$. Further, we study an oriented $3$-manifold with mean convex boundary and with uniformly positive scalar curvature. If the boundary is a disjoint union of closed surfaces, then the manifold is an (possibly) infinite conned sum of spherical $3$-manifolds, some handlebodies and some copies of $mathbb{S}^1times mathbb{S}^2$." @default.
- W4313445089 created "2023-01-06" @default.
- W4313445089 creator A5032764121 @default.
- W4313445089 date "2022-12-29" @default.
- W4313445089 modified "2023-09-24" @default.
- W4313445089 title "Topology of $3$-manifolds with uniformly positive scalar curvature" @default.
- W4313445089 doi "https://doi.org/10.48550/arxiv.2212.14383" @default.
- W4313445089 hasPublicationYear "2022" @default.
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