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Deformations of twisted cscK metrics

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dc.contributor.advisor Chen, Xiuxiong en_US
dc.contributor.author Zeng, Yu en_US
dc.contributor.other Department of Mathematics en_US
dc.date.accessioned 2017-09-20T16:50:09Z
dc.date.available 2017-09-20T16:50:09Z
dc.date.issued 2016-12-01 en_US
dc.identifier.uri http://hdl.handle.net/11401/76384 en_US
dc.description 44 pg. en_US
dc.description.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. en_US
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 en_US
dc.format.medium Electronic Resource en_US
dc.language.iso en_US en_US
dc.publisher The Graduate School, Stony Brook University: Stony Brook, NY. en_US
dc.subject.lcsh Mathematics en_US
dc.subject.other constant scalar curvature, deformation, extremal, Kahler geometry en_US
dc.title Deformations of twisted cscK metrics en_US
dc.type Dissertation en_US
dc.mimetype Application/PDF en_US
dc.contributor.committeemember Khuri, Marcus en_US
dc.contributor.committeemember Sun, Song en_US
dc.contributor.committeemember Rocek, Martin. en_US


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