Type
Text
Type
Dissertation
Advisor
Khuri, Marcus | Chen, Xiuxiong | Sun, Song | Rocek, Martin.
Date
2016-12-01
Keywords
Mathematics | constant scalar curvature, deformation, extremal, Kahler geometry
Department
Department of Mathematics
Language
en_US
Source
This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.
Identifier
http://hdl.handle.net/11401/76384
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.
Format
application/pdf
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. | 44 pages
Recommended Citation
Zeng, Yu, "Deformations of twisted cscK metrics" (2016). Stony Brook Theses and Dissertations Collection, 2006-2020 (closed to submissions). 2308.
https://commons.library.stonybrook.edu/stony-brook-theses-and-dissertations-collection/2308