| dc.identifier.uri | http://hdl.handle.net/11401/76384 | |
| 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 | In this dissertation, we describe a new continuity path introduced by X. Chen aiming to attack the existence problem of constant scalar curvature problem via a direct PDE approach. The path connects the solution of J-equation to the constant scalar curvature Kaehler metric. We will present various openness results about the continuity path. The openness at $t = 0$ is in fact a perturbation result from a solution of second order partial differential equation to a solution of a fourth order partial differential equation. | |
| dcterms.available | 2017-09-20T16:50:09Z | |
| dcterms.contributor | Chen, Xiuxiong | en_US |
| dcterms.contributor | Khuri, Marcus | en_US |
| dcterms.contributor | Sun, Song | en_US |
| dcterms.contributor | Rocek, Martin. | en_US |
| dcterms.creator | Zeng, Yu | |
| dcterms.dateAccepted | 2017-09-20T16:50:09Z | |
| dcterms.dateSubmitted | 2017-09-20T16:50:09Z | |
| dcterms.description | Department of Mathematics | en_US |
| dcterms.extent | 44 pg. | en_US |
| dcterms.format | Monograph | |
| dcterms.format | Application/PDF | en_US |
| dcterms.identifier | http://hdl.handle.net/11401/76384 | |
| dcterms.issued | 2016-12-01 | |
| dcterms.language | en_US | |
| dcterms.provenance | Made available in DSpace on 2017-09-20T16:50:09Z (GMT). No. of bitstreams: 1
Zeng_grad.sunysb_0771E_12985.pdf: 369795 bytes, checksum: 436a7ee2595122c31f96055e4d5323b8 (MD5)
Previous issue date: 1 | en |
| dcterms.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dcterms.subject | Mathematics | |
| dcterms.subject | constant scalar curvature, deformation, extremal, Kahler geometry | |
| dcterms.title | Deformations of twisted cscK metrics | |
| dcterms.type | Dissertation | |
