𝐿^{∞} estimates for Kähler-Ricci flow on Kähler-Einstein Fano manifolds: A new derivation

Author:

Jian Wangjian,Shi Yalong

Abstract

Assuming Perelman’s estimates, we give a new proof of uniform L L^\infty estimate along normalized Kähler-Ricci flow on Fano manifolds with Kähler-Einstein metrics, using Chen-Cheng’s auxiliary Monge-Ampère equation and the Alexandrov-Bakelman-Pucci maximum principle. This proof does not use pluripotential theory.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference17 articles.

1. On the uniform estimate in the Calabi-Yau theorem, II;Błocki, Zbigniew;Sci. China Math.,2011

2. On the constant scalar curvature Kähler metrics (I)—A priori estimates;Chen, Xiuxiong;J. Amer. Math. Soc.,2021

3. X. Chen and J. Cheng, The 𝐿^{∞} estimates for parabolic complex Monge-Ampère and Hessian equations, arXiv:2201.13339, 2022.

4. Ricci flow on Kähler-Einstein surfaces;Chen, X. X.;Invent. Math.,2002

5. The twisted Kähler-Ricci flow;Collins, Tristan C.;J. Reine Angew. Math.,2016

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