The continuity equation, Hermitian metrics and elliptic bundles

Abstract

We extend the continuity equation of La Nave-Tian to Hermitian metrics and establish its interval of maximal existence. The equation is closely related to the Chern-Ricci flow, and we illustrate this in the case of elliptic bundles over a curve of genus at least two.

14 pages

References in corpus (4)

• Some discretizations of geometric evolution equations and the Ricci iteration on the space of Kahler metrics, I
• Collapsing of Products Along the Kähler-Ricci Flow
• Bounding diameter of singular Kähler metric
• The continuity method on minimal elliptic Kähler surfaces