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On Hamilton's Ricci flow and Bartnik...

Lin, Chen-Yun.

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On Hamilton's Ricci flow and Bartnik's construction of metrics of prescribed scalar curvature.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	On Hamilton's Ricci flow and Bartnik's construction of metrics of prescribed scalar curvature./
Author:	Lin, Chen-Yun.
Description:	34 p.
Notes:	Source: Dissertation Abstracts International, Volume: 71-09, Section: B, page: 5510.
Contained By:	Dissertation Abstracts International71-09B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3420807
ISBN:	9781124180793

On Hamilton's Ricci flow and Bartnik's construction of metrics of prescribed scalar curvature.
Lin, Chen-Yun.

On Hamilton's Ricci flow and Bartnik's construction of metrics of prescribed scalar curvature. - 34 p.

Source: Dissertation Abstracts International, Volume: 71-09, Section: B, page: 5510.

Thesis (Ph.D.)--Columbia University, 2010.

It is known by work of R. Hamilton and B. Chow that the evolution under Ricci flow of an arbitrary initial metric g on S 2, suitably normalized, exists for all time and converges to a round metric. I construct metrics of prescribed scalar curvature using solutions to the Ricci flow. The problem is converted into a semilinear parabolic equation similar to the quasispherical construction of Bartnik. In this work, I discuss existence results for this equation and applications of such metrics.

ISBN: 9781124180793Subjects--Topical Terms:

515831
Mathematics.

On Hamilton's Ricci flow and Bartnik's construction of metrics of prescribed scalar curvature.
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008 130515s2010 ||||||||||||||||| ||eng d
020 $a 9781124180793
035 $a (UMI)AAI3420807
035 $a AAI3420807
040 $a UMI $c UMI
100 1 $a Lin, Chen-Yun. $3 1684187
245 1 0 $a On Hamilton's Ricci flow and Bartnik's construction of metrics of prescribed scalar curvature.
300 $a 34 p.
500 $a Source: Dissertation Abstracts International, Volume: 71-09, Section: B, page: 5510.
500 $a Adviser: Mu-Tao Wang.
502 $a Thesis (Ph.D.)--Columbia University, 2010.
520 $a It is known by work of R. Hamilton and B. Chow that the evolution under Ricci flow of an arbitrary initial metric g on S 2, suitably normalized, exists for all time and converges to a round metric. I construct metrics of prescribed scalar curvature using solutions to the Ricci flow. The problem is converted into a semilinear parabolic equation similar to the quasispherical construction of Bartnik. In this work, I discuss existence results for this equation and applications of such metrics.
590 $a School code: 0054.
650 4 $a Mathematics. $3 515831
650 4 $a Theoretical Mathematics. $3 1672766
690 $a 0405
690 $a 0642
710 2 $a Columbia University. $3 571054
773 0 $t Dissertation Abstracts International $g 71-09B.
790 1 0 $a Wang, Mu-Tao, $e advisor
790 $a 0054
791 $a Ph.D.
792 $a 2010
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3420807