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- W4378771257 abstract "We show the following result: Let $(M,g_0)$ be a compact manifold of dimension $ngeq 12$ with positive isotropic curvature. Then $M$ is diffeomorphic to a spherical space form, or a quotient manifold of $mathbb{S}^{n-1}times mathbb{R}$ by a cocompact discrete subgroup of the isometry group of the round cylinder $mathbb{S}^{n-1}times mathbb{R}$, or a connected sum of a finite number of such manifolds. This extends previous works of Brendle and Chen-Tang-Zhu, and improves a work of Huang. The proof uses Ricci flow with surgery on compact orbifolds, with the help of the ambient isotopy uniqueness of closed tubular neighborhoods of compact suborbifolds." @default.
- W4378771257 created "2023-05-31" @default.
- W4378771257 creator A5088599082 @default.
- W4378771257 date "2023-05-29" @default.
- W4378771257 modified "2023-09-23" @default.
- W4378771257 title "Classification of compact manifolds with positive isotropic curvature" @default.
- W4378771257 doi "https://doi.org/10.48550/arxiv.2305.18154" @default.
- W4378771257 hasPublicationYear "2023" @default.
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