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

DOI10.1090/proc/16597arXiv2305.09421OpenAlexW4384029788MaRDI QIDQ6154330

Yalong Shi, Wangjian Jian

Publication date: 15 February 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.09421

Mathematics Subject Classification ID

Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) (53E30)

Cites Work

• On the convergence of the modified Kähler-Ricci flow and solitons
• On the uniform estimate in the Calabi-Yau theorem. II
• The complex Monge-Ampère equation
• Ricci flow on Kähler-Einstein surfaces.
• A priori estimate for the complex Monge-Ampère equation
• The twisted Kähler-Ricci flow
• On the Kähler-Ricci flow on Fano manifolds
• Perelman’s entropy and Kähler-Ricci flow on a Fano manifold
• Convergence of Kähler-Ricci flow
• BOUNDING SCALAR CURVATURE AND DIAMETER ALONG THE KÄHLER RICCI FLOW (AFTER PERELMAN)
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Convergence of the Kähler–Ricci flow on Fano manifolds
• On the constant scalar curvature Kähler metrics (I)—A priori estimates
• Complex Monge Ampere Equations
• Auxiliary Monge-Ampère equations in geometric analysis
• On \(L^\infty\) estimates for complex Monge-Ampère equations

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