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On the Uniqueness of Ricci Flow

Name: On the Uniqueness of Ricci Flow
Creator: Man Chun Lee
Keywords: Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 15 Oct 2018Embargo end date: 01 Jan 2017Publisher:Springer Science and Business Media LLCJournal:The Journal of Geometric Analysis, volume 29, pages 3,098-3,112 (issn: 1050-6926, eissn: 1559-002X,

Authors: Man Chun Lee;

doi: 10.1007/s12220-018-00105-y , 10.48550/arxiv.1706.06848

arXiv: http://arxiv.org/abs/1706.06848

On the Uniqueness of Ricci Flow

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Abstract

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

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Related Organizations

University of British Columbia
Canada

Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics

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