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Kahler-Einstein metrics and Sobolev ...

Sun, Jian.

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Kahler-Einstein metrics and Sobolev inequality.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Kahler-Einstein metrics and Sobolev inequality./
Author:	Sun, Jian.
Description:	77 p.
Notes:	Adviser: Kevin Corlette.
Contained By:	Dissertation Abstracts International61-03B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9965165
ISBN:	0599696788

Kahler-Einstein metrics and Sobolev inequality.
Sun, Jian.

Kahler-Einstein metrics and Sobolev inequality. - 77 p.

Adviser: Kevin Corlette.

Thesis (Ph.D.)--The University of Chicago, 2000.

This thesis is divided into two parts. In the first part we will show that there exists a Kähler-Einstein metric on the open Riemann surfaces which is continuously dependent on the initial value. We then generalize this to the higher dimensional complex manifolds, in particular we point out that the metric constructed by Yau-Cheng, Tian, Kobayashi depends continuously on the initial values. We also proved a general theorem about the existence of Kähler-Einstein metric. In the second part of the thesis we prove a Sobolev-Nirenberg type inequality on the real algebraic set. We believe that this result could be fundamentally important to the study of analytic and geometric properties of the real algebraic set.

ISBN: 0599696788Subjects--Topical Terms:

515831
Mathematics.

Kahler-Einstein metrics and Sobolev inequality.
LDR:01554nam 2200265 a 45 001 934817
005 20110509
008 110509s2000 eng d
020 $a 0599696788
035 $a (UnM)AAI9965165
035 $a AAI9965165
040 $a UnM $c UnM
100 1 $a Sun, Jian. $3 1031963
245 1 0 $a Kahler-Einstein metrics and Sobolev inequality.
300 $a 77 p.
500 $a Adviser: Kevin Corlette.
500 $a Source: Dissertation Abstracts International, Volume: 61-03, Section: B, page: 1444.
502 $a Thesis (Ph.D.)--The University of Chicago, 2000.
520 $a This thesis is divided into two parts. In the first part we will show that there exists a Kähler-Einstein metric on the open Riemann surfaces which is continuously dependent on the initial value. We then generalize this to the higher dimensional complex manifolds, in particular we point out that the metric constructed by Yau-Cheng, Tian, Kobayashi depends continuously on the initial values. We also proved a general theorem about the existence of Kähler-Einstein metric. In the second part of the thesis we prove a Sobolev-Nirenberg type inequality on the real algebraic set. We believe that this result could be fundamentally important to the study of analytic and geometric properties of the real algebraic set.
590 $a School code: 0330.
650 4 $a Mathematics. $3 515831
690 $a 0405
710 2 0 $a The University of Chicago. $3 1017389
773 0 $t Dissertation Abstracts International $g 61-03B.
790 $a 0330
790 1 0 $a Corlette, Kevin, $e advisor
791 $a Ph.D.
792 $a 2000
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9965165