Surveys in Differential Geometry

Volume 23 (2018)

Unification of the Kähler–Ricci and Anomaly flows

Pages: 89 – 104



Teng Fei (Department of Mathematics and Computer Science, Rutgers University, Newark, New Jersey, U.S.A.)

Duong H. Phong (Department of Mathematics, Columbia University, New York, N.Y., U.S.A.)


A new formulation of the Anomaly flow in the case of vanishing slope parameter is given, where the dependence on the global section of the canonical bundle appears only in the initial data. This allows a natural unification of the Anomaly flow with the Kähler–Ricci flow.

Work supported in part by the National Science Foundation under grant DMS-12-66033.

Published 5 May 2020