Pure and Applied Mathematics Quarterly

Volume 18 (2022)

Number 2

Special issue in honor of Joseph J. Kohn on the occasion of his 90th birthday

Guest Editors: J.E. Fornaess, Stanislaw Janeczko, Duong H. Phong, and Stephen S.T. Yau

On the Kähler–Ricci flow on Fano manifolds

Pages: 573 – 581

DOI: https://dx.doi.org/10.4310/PAMQ.2022.v18.n2.a9

Authors

Bin Guo (Department of Mathematics & Computer Science, Rutgers University, Newark, New Jersey, U.S.A.)

Duong H. Phong (Department of Mathematics, Rutgers University, Newark, New Jersey, U.S.A.)

Jacob Sturm (Department of Mathematics & Computer Science, Rutgers University, Newark, New Jersey, U.S.A.)

Abstract

A short proof of the convergence of the Kähler–Ricci flow on Fano manifolds admitting a Kähler–Einstein metric or a Kähler–Ricci soliton is given, using a variety of recent techniques.

Keywords

Kähler–Ricci flow, Fano manifolds

Full Text (PDF format)

The authors’ work was supported in part by the National Science Foundation under grants DMS-1855947 and DMS-1945869.

Received 20 January 2021

Accepted 15 April 2021

Published 13 May 2022