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Energy functionals and their applica...

Li, Qi.

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Energy functionals and their applications to Monge-Ampere equations.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Energy functionals and their applications to Monge-Ampere equations./
Author:	Li, Qi.
Description:	43 p.
Notes:	Adviser: Duong H. Phong.
Contained By:	Dissertation Abstracts International69-03B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3305243
ISBN:	9780549514633

Energy functionals and their applications to Monge-Ampere equations.
Li, Qi.

Energy functionals and their applications to Monge-Ampere equations. - 43 p.

Adviser: Duong H. Phong.

Thesis (Ph.D.)--Columbia University, 2008.

In 1997, Tian proved the Moser-Trudinger type inequality on compact Kahler-Einstein manifolds which played an important role in the study of Kahler-Einstein geometry. We generalize this result to compact Kahler manifolds with multiplier Hermitian structures and define the generalized Futaki invariant to such manifolds.

ISBN: 9780549514633Subjects--Topical Terms:

515831
Mathematics.

Energy functionals and their applications to Monge-Ampere equations.
LDR:01474nam 2200277 a 45 001 946556
005 20110523
008 110523s2008 ||||||||||||||||| ||eng d
020 $a 9780549514633
035 $a (UMI)AAI3305243
035 $a AAI3305243
040 $a UMI $c UMI
100 1 $a Li, Qi. $3 1269967
245 1 0 $a Energy functionals and their applications to Monge-Ampere equations.
300 $a 43 p.
500 $a Adviser: Duong H. Phong.
500 $a Source: Dissertation Abstracts International, Volume: 69-03, Section: B, page: 1687.
502 $a Thesis (Ph.D.)--Columbia University, 2008.
520 $a In 1997, Tian proved the Moser-Trudinger type inequality on compact Kahler-Einstein manifolds which played an important role in the study of Kahler-Einstein geometry. We generalize this result to compact Kahler manifolds with multiplier Hermitian structures and define the generalized Futaki invariant to such manifolds.
520 $a We also study the boundary value problem of the complex Monge-Ampere equation on bounded domains in Cn. We use the heat flow method to show the long time existence of the parabolic Monge-Ampere equation and define a functional F associated to the equation to show the convergence of the flow.
590 $a School code: 0054.
650 4 $a Mathematics. $3 515831
690 $a 0405
710 2 $a Columbia University. $3 571054
773 0 $t Dissertation Abstracts International $g 69-03B.
790 $a 0054
790 1 0 $a Phong, Duong H., $e advisor
791 $a Ph.D.
792 $a 2008
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3305243