On the Hölder Estimate of Kähler–Ricci Flow-Reference-Cited by-同舟云学术

On the Hölder Estimate of Kähler–Ricci Flow

Published:2022-02-02 Issue:6 Volume:2023 Page:4932-4951
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Chu Jianchun¹²,Lee Man-Chun²³⁴

Affiliation:

1. School of Mathematical Sciences , Peking University, Yiheyuan Road 5, Beijing, 100871, P.R. China

2. Department of Mathematics , Northwestern University, 2033 Sheridan Road, Evanston, IL 60208, USA

3. Department of Mathematics , The Chinese University of Hong Kong, Shatin, N.T., Hong Kong

4. Mathematics Institute , Zeeman Building, University of Warwick, Coventry CV4 7AL, UK

Abstract

Abstract It is conjectured by Song–Tian that the normalized Kähler–Ricci flow on compact Kähler manifolds with semi-ample canonical line bundle is uniformly smooth away from the singular fibers. In this work, we adapt the method in the work of Hein–Tosatti on collapsing Calabi–Yau metrics and obtain a uniform spatial Hölder estimate along the normalized Kähler–Ricci flow for all time away from the singular fiber.

Funder

NSF

EPSRC

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2023/6/4932/49505459/rnac006.pdf

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