Compactness of Kähler metrics with bounds on Ricci curvature and I functional

Abstract

We prove a compactness theorem for Kähler metrics with various bounds on Ricci curvature and the $\mathcal{I}$ functional. We explore applications of our result to the continuity method and the Calabi flow.

References in corpus (4)

• Existence of twisted constant scalar curvature Kähler metrics with a large twist
• On the existence of constant scalar curvature Kähler metric: a new perspective
• Deformations from a given Kähler metric to a twisted cscK metric
• Constant scalar curvature equation and the regularity of its weak solution

Cited by in corpus (1)

• On Calabi's extremal metric and properness