On the Maximal Rate of Convergence under the Ricci Flow

Brett Kotschwar

doi:10.1093/imrn/rnaa172

On the Maximal Rate of Convergence under the Ricci Flow

Brett Kotschwar

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

Abstract

We estimate from above the rate at which a solution to the normalized Ricci flow on a closed manifold may converge to a limit soliton. Our main result implies that any solution that converges modulo diffeomorphisms to a soliton faster than any fixed exponential rate must itself be self-similar.

Original language	English (US)
Pages (from-to)	2484-2512
Number of pages	29
Journal	International Mathematics Research Notices
Volume	2022
Issue number	4
DOIs	https://doi.org/10.1093/imrn/rnaa172
State	Published - Feb 1 2022

ASJC Scopus subject areas

Mathematics(all)

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10.1093/imrn/rnaa172

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On the Maximal Rate of Convergence under the Ricci Flow

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