On the Uniqueness of Ricci Flow

Man Chun Lee

doi:10.1007/s12220-018-00105-y

On the Uniqueness of Ricci Flow

Man Chun Lee^*

^*Corresponding author for this work

Mathematics

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

3 Scopus citations

Abstract

In this note, we study the problem of the uniqueness of solutions to the Ricci flow on complete noncompact manifolds. We consider the class of solutions with curvature bounded above by C / t when t> 0 and prove a uniqueness result when initial curvature is of polynomial growth and Ricci curvature of the flow is relatively small.

Original language	English (US)
Pages (from-to)	3098-3112
Number of pages	15
Journal	Journal of Geometric Analysis
Volume	29
Issue number	4
DOIs	https://doi.org/10.1007/s12220-018-00105-y
State	Published - Dec 1 2019

Keywords

Ricci flow
Unbounded curvature
Uniqueness problem

ASJC Scopus subject areas

Geometry and Topology

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10.1007/s12220-018-00105-y

Cite this

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title = "On the Uniqueness of Ricci Flow",

abstract = "In this note, we study the problem of the uniqueness of solutions to the Ricci flow on complete noncompact manifolds. We consider the class of solutions with curvature bounded above by C / t when t> 0 and prove a uniqueness result when initial curvature is of polynomial growth and Ricci curvature of the flow is relatively small.",

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author = "Lee, {Man Chun}",

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AB - In this note, we study the problem of the uniqueness of solutions to the Ricci flow on complete noncompact manifolds. We consider the class of solutions with curvature bounded above by C / t when t> 0 and prove a uniqueness result when initial curvature is of polynomial growth and Ricci curvature of the flow is relatively small.

KW - Ricci flow

KW - Unbounded curvature

KW - Uniqueness problem

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On the Uniqueness of Ricci Flow

Abstract

Keywords

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