| dc.identifier.uri | http://hdl.handle.net/11401/76401 | |
| dc.description.sponsorship | This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree. | en_US |
| dc.format | Monograph | |
| dc.format.medium | Electronic Resource | en_US |
| dc.language.iso | en_US | |
| dc.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dc.type | Dissertation | |
| dcterms.abstract | 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 C^{1,1} 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. | |
| dcterms.available | 2017-09-20T16:50:10Z | |
| dcterms.contributor | Lawson, Blaine | en_US |
| dcterms.contributor | Chen, Xiuxiong | en_US |
| dcterms.contributor | Varolin, Dror | en_US |
| dcterms.contributor | Bedford, Eric. | en_US |
| dcterms.creator | Li, Long | |
| dcterms.dateAccepted | 2017-09-20T16:50:10Z | |
| dcterms.dateSubmitted | 2017-09-20T16:50:10Z | |
| dcterms.description | Department of Mathematics. | en_US |
| dcterms.extent | 61 pg. | en_US |
| dcterms.format | Application/PDF | en_US |
| dcterms.format | Monograph | |
| dcterms.identifier | http://hdl.handle.net/11401/76401 | |
| dcterms.issued | 2014-12-01 | |
| dcterms.language | en_US | |
| dcterms.provenance | Made available in DSpace on 2017-09-20T16:50:10Z (GMT). No. of bitstreams: 1
Li_grad.sunysb_0771E_11815.pdf: 386235 bytes, checksum: 8cfd8167cf31e73f2a2d46f358919747 (MD5)
Previous issue date: 1 | en |
| dcterms.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dcterms.subject | complex Monge-Ampere equations, geodesics, Kaehler-Einstein metrics | |
| dcterms.subject | Mathematics | |
| dcterms.title | On the Uniqueness of singular Kaehler-Einstein metrics | |
| dcterms.type | Dissertation | |
