On the Convergence of a Modified Kaehler-Ricci flow

TL;DR

This paper proves that a modified Kähler-Ricci flow converges to a singular metric in degenerate cases, confirming a conjecture by Zhou Zhang.

Contribution

It establishes the convergence of a modified Kähler-Ricci flow to singular metrics in degenerate classes, confirming Zhang's conjecture.

Findings

Flow converges to a singular metric in degenerate classes

Proves Zhang's conjecture on flow convergence

Extends understanding of Kähler-Ricci flow behavior

Abstract

We study the convergence of a modified Kaeher-Ricci flow defined by Zhou Zhang. We show that the flow converges to a singular metric when the limit class is degenerate. This proves a conjecture of Zhang.