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- W4324325372 abstract "By using the Yamabe flow, we prove that if $(M^n,g)$, $ngeq3$, is an $n$-dimensional locally conformally flat complete Riemannian manifold $Rcgeq epsilon Rg>0$, where $epsilon>0$ is a uniformly constant, then $M^n$ must be compact. Our result shows that Hamilton's pinching conjecture also holds for higher dimensional case if we assume additionally the metric is locally conformally flat." @default.
- W4324325372 created "2023-03-16" @default.
- W4324325372 creator A5042026897 @default.
- W4324325372 date "2023-03-12" @default.
- W4324325372 modified "2023-10-16" @default.
- W4324325372 title "On locally conformally flat manifolds with positive pinched Ricci curvature" @default.
- W4324325372 doi "https://doi.org/10.48550/arxiv.2303.06648" @default.
- W4324325372 hasPublicationYear "2023" @default.
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