Backwards uniqueness for the Ricci Flow

Brett L. Kotschwar

doi:10.1093/imrn/rnq022

Backwards uniqueness for the Ricci Flow

Brett L. Kotschwar

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

49 Scopus citations

Abstract

In this paper, we prove a backwards uniqueness theorem for solutions to the Ricci flow. A particular consequence is that the isometry group of a solution cannot expand within the lifetime of the solution.

Original language	English (US)
Pages (from-to)	4064-4097
Number of pages	34
Journal	International Mathematics Research Notices
Volume	2010
Issue number	21
DOIs	https://doi.org/10.1093/imrn/rnq022
State	Published - 2010
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1093/imrn/rnq022

Cite this

@article{73cb6fd959124073a47199d5c0fc7b9e,

title = "Backwards uniqueness for the Ricci Flow",

abstract = "In this paper, we prove a backwards uniqueness theorem for solutions to the Ricci flow. A particular consequence is that the isometry group of a solution cannot expand within the lifetime of the solution.",

author = "Kotschwar, {Brett L.}",

note = "Funding Information: The author wishes to thank Professors Bennett Chow and Lei Ni for useful discussions and their advice regarding an early draft of the paper. This research was partially supported by National Science Foundation (NSF) Grant DMS-0805834.",

year = "2010",

doi = "10.1093/imrn/rnq022",

language = "English (US)",

volume = "2010",

pages = "4064--4097",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

publisher = "Oxford University Press",

number = "21",

}

TY - JOUR

T1 - Backwards uniqueness for the Ricci Flow

AU - Kotschwar, Brett L.

N1 - Funding Information: The author wishes to thank Professors Bennett Chow and Lei Ni for useful discussions and their advice regarding an early draft of the paper. This research was partially supported by National Science Foundation (NSF) Grant DMS-0805834.

PY - 2010

Y1 - 2010

N2 - In this paper, we prove a backwards uniqueness theorem for solutions to the Ricci flow. A particular consequence is that the isometry group of a solution cannot expand within the lifetime of the solution.

AB - In this paper, we prove a backwards uniqueness theorem for solutions to the Ricci flow. A particular consequence is that the isometry group of a solution cannot expand within the lifetime of the solution.

UR - http://www.scopus.com/inward/record.url?scp=78049499878&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78049499878&partnerID=8YFLogxK

U2 - 10.1093/imrn/rnq022

DO - 10.1093/imrn/rnq022

M3 - Article

AN - SCOPUS:78049499878

SN - 1073-7928

VL - 2010

SP - 4064

EP - 4097

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 21

ER -

Backwards uniqueness for the Ricci Flow

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this