Curvature growth of some 4-dimensional gradient Ricci soliton singularity models

Bennett Chow; Michael Freedman; Henry Shin; Yongjia Zhang

doi:10.1016/j.aim.2020.107303

Curvature growth of some 4-dimensional gradient Ricci soliton singularity models

Bennett Chow
, Michael Freedman
, Henry Shin
, Yongjia Zhang

School of Mathematics

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

9 Scopus citations

Abstract

In this note we discuss estimates for the curvature of 4-dimensional gradient Ricci soliton singularity models by applying Perelman's point selection, a fundamental result of Cheeger and Naber, and topological lemmas.

Original language	English (US)
Article number	107303
Journal	Advances in Mathematics
Volume	372
DOIs	https://doi.org/10.1016/j.aim.2020.107303
State	Published - Oct 7 2020

Bibliographical note

Publisher Copyright:
© 2020 Elsevier Inc.

Keywords

Asymptotically locally Euclidean manifold
Gradient Ricci soliton
Ricci flat
Ricci flow
Singularity model

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10.1016/j.aim.2020.107303

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title = "Curvature growth of some 4-dimensional gradient Ricci soliton singularity models",

abstract = "In this note we discuss estimates for the curvature of 4-dimensional gradient Ricci soliton singularity models by applying Perelman's point selection, a fundamental result of Cheeger and Naber, and topological lemmas.",

keywords = "Asymptotically locally Euclidean manifold, Gradient Ricci soliton, Ricci flat, Ricci flow, Singularity model",

author = "Bennett Chow and Michael Freedman and Henry Shin and Yongjia Zhang",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",

year = "2020",

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doi = "10.1016/j.aim.2020.107303",

language = "English (US)",

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T1 - Curvature growth of some 4-dimensional gradient Ricci soliton singularity models

AU - Chow, Bennett

AU - Freedman, Michael

AU - Shin, Henry

AU - Zhang, Yongjia

PY - 2020/10/7

Y1 - 2020/10/7

N2 - In this note we discuss estimates for the curvature of 4-dimensional gradient Ricci soliton singularity models by applying Perelman's point selection, a fundamental result of Cheeger and Naber, and topological lemmas.

AB - In this note we discuss estimates for the curvature of 4-dimensional gradient Ricci soliton singularity models by applying Perelman's point selection, a fundamental result of Cheeger and Naber, and topological lemmas.

KW - Asymptotically locally Euclidean manifold

KW - Gradient Ricci soliton

KW - Ricci flat

KW - Ricci flow

KW - Singularity model

UR - https://www.scopus.com/pages/publications/85088630352

UR - https://www.scopus.com/pages/publications/85088630352#tab=citedBy

U2 - 10.1016/j.aim.2020.107303

DO - 10.1016/j.aim.2020.107303

M3 - Article

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SN - 0001-8708

VL - 372

JO - Advances in Mathematics

JF - Advances in Mathematics

M1 - 107303

ER -

Curvature growth of some 4-dimensional gradient Ricci soliton singularity models

Abstract

Bibliographical note

Keywords

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