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Energy functionals and their applica...

Li, Qi.

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Energy functionals and their applications to Monge-Ampere equations.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Energy functionals and their applications to Monge-Ampere equations./
作者:	Li, Qi.
面頁冊數:	43 p.
附註:	Adviser: Duong H. Phong.
Contained By:	Dissertation Abstracts International69-03B.
標題:	Mathematics. -
電子資源:	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.
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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.
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790 1 0 $a Phong, Duong H., $e advisor
791 $a Ph.D.
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