Dissertation/Thesis Abstract

On the Uniqueness of singular Kähler-Einstein metrics
by Li, Long, Ph.D., State University of New York at Stony Brook, 2014, 61; 3632422
Abstract (Summary)

Bando and Mabuchi proved the uniqueness of Kaehler-Einstein metrics on Fano manifolds up to a holomorphic automorphism in 1987. Then recently Berndtsson generalized the uniqueness result of Kaehler-Einstein metrics to bounded potentials. We give a new proof of the Bando-Mabuch-Berndtsson uniqueness theorem in a different aspect, based on a new technique developed from Chen's C1,1 geodesic and Futaki's spectral formula. Finally, the uniqueness of the conical Kaehler-Einstein metrics will be discussed under the assumption of properness of twisted Ding-functional.

Indexing (document details)
Advisor: Chen, Xiuxiong
Commitee: Bedford, Eric, Lawson, Blaine, Varolin, Dror
School: State University of New York at Stony Brook
Department: Mathematics
School Location: United States -- New York
Source: DAI-B 75/12(E), Dissertation Abstracts International
Subjects: Mathematics
Keywords: Complex monge-ampere equations, Geodesics, Kahler-einstein metrics
Publication Number: 3632422
ISBN: 978-1-321-11752-3
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