Ricci flow and a sphere theorem for Ln/2-pinched Yamabe metrics

Eric Chen; Guofang Wei; Rugang Ye

doi:10.1016/j.aim.2021.108054

Ricci flow and a sphere theorem for L^n/2-pinched Yamabe metrics

Eric Chen
, Guofang Wei
, Rugang Ye

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

Abstract

We obtain a differential sphere and Ricci flow convergence theorem for positive scalar curvature Yamabe metrics with L^n/2-pinched curvature in general dimensions n. Previously, E. Hebey and M. Vaugon obtained in [9] a corresponding result for L^p-pinching with p>n/2.

Original language	English (US)
Article number	108054
Journal	Advances in Mathematics
Volume	393
DOIs	https://doi.org/10.1016/j.aim.2021.108054
State	Published - Dec 24 2021
Externally published	Yes

Keywords

Curvature pinching
Integral curvature
Ricci flow
Sphere theorem
Yamabe metrics

ASJC Scopus subject areas

General Mathematics

Online availability

10.1016/j.aim.2021.108054License: CC BY-NC-ND

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Cite this

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title = "Ricci flow and a sphere theorem for Ln/2-pinched Yamabe metrics",

abstract = "We obtain a differential sphere and Ricci flow convergence theorem for positive scalar curvature Yamabe metrics with Ln/2-pinched curvature in general dimensions n. Previously, E. Hebey and M. Vaugon obtained in [9] a corresponding result for Lp-pinching with p>n/2.",

keywords = "Curvature pinching, Integral curvature, Ricci flow, Sphere theorem, Yamabe metrics",

author = "Eric Chen and Guofang Wei and Rugang Ye",

note = "E. Chen is partially supported by an AMS–Simons Travel Grant.G. Wei is partially supported by NSF Grant DMS 1811558.",

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T1 - Ricci flow and a sphere theorem for Ln/2-pinched Yamabe metrics

AU - Chen, Eric

AU - Wei, Guofang

AU - Ye, Rugang

N1 - E. Chen is partially supported by an AMS–Simons Travel Grant.G. Wei is partially supported by NSF Grant DMS 1811558.

PY - 2021/12/24

Y1 - 2021/12/24

N2 - We obtain a differential sphere and Ricci flow convergence theorem for positive scalar curvature Yamabe metrics with Ln/2-pinched curvature in general dimensions n. Previously, E. Hebey and M. Vaugon obtained in [9] a corresponding result for Lp-pinching with p>n/2.

AB - We obtain a differential sphere and Ricci flow convergence theorem for positive scalar curvature Yamabe metrics with Ln/2-pinched curvature in general dimensions n. Previously, E. Hebey and M. Vaugon obtained in [9] a corresponding result for Lp-pinching with p>n/2.

KW - Curvature pinching

KW - Integral curvature

KW - Ricci flow

KW - Sphere theorem

KW - Yamabe metrics

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