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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.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	On Hamilton's Ricci flow and Bartnik's construction of metrics of prescribed scalar curvature./
作者:	Lin, Chen-Yun.
面頁冊數:	34 p.
附註:	Source: Dissertation Abstracts International, Volume: 71-09, Section: B, page: 5510.
Contained By:	Dissertation Abstracts International71-09B.
標題:	Mathematics. -
電子資源:	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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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.
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