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- W4385965245 abstract "In this paper, we study $kappa$-noncollapsed ancient solutions to the Ricci flow with nonnegative curvature operator in higher dimensions. We impose one further assumption: one of the asymptotic shrinking gradient Ricci solitons is the standard cylinder $mathbb{S}^{n-1}timesmathbb{R}$. By making use of the properties of such ancient solutions, we generalize part one of Brendle cite{brendle2018ancient} to higher dimensions, that is, every noncompact $kappa$-noncollapsed rotationally symmetric ancient solution to the Ricci flow with bounded positive curvature operator must be the Bryant soliton." @default.
- W4385965245 created "2023-08-18" @default.
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- W4385965245 date "2018-12-10" @default.
- W4385965245 modified "2023-09-27" @default.
- W4385965245 title "Ancient solutions to the Ricci flow in higher dimensions" @default.
- W4385965245 doi "https://doi.org/10.48550/arxiv.1812.04156" @default.
- W4385965245 hasPublicationYear "2018" @default.
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