Singularity Types for Long-Time Chern-Ricci Flow

Abstract

We extend some results known for the Kähler-Ricci flow to the Chern-Ricci flow regarding the independence of singularity types for long-time solutions. Specifically, we show that if a solution to the Chern-Ricci flow exists with uniformly bounded torsion and curvature, then any other solution starting from an initial metric of the same $\partial \bar{\partial }$ class will also exhibit uniform bounds on torsion and curvature.

arXiv comment13 pages, any comments welcomed