(C^{2,\alpha}\)-estimate for conical Kähler-Ricci flow

We establish a parabolic version of Tian's \(C^{2,\alpha}\)-estimate for conical complex Monge-Ampere equations, which includes conical K\"ahler-Einstein metrics. Our estimate will complete the proof of the existence of unnormalized conical K\"ahler-Ricci flow in arXiv:1411.7284.

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Bibliographic Details
Published inarXiv.org
Main Author Shen, Liangming
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 21.03.2018
Subjects
Conical flow
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Summary:We establish a parabolic version of Tian's \(C^{2,\alpha}\)-estimate for conical complex Monge-Ampere equations, which includes conical K\"ahler-Einstein metrics. Our estimate will complete the proof of the existence of unnormalized conical K\"ahler-Ricci flow in arXiv:1411.7284.
ISSN:2331-8422