The conical KählerRicci flow on Fano manifolds
Jiawei Liu, Xi Zhang,
2014.02.08
http://arxiv.org/abs/1402.1832
In this paper, we study the longterm behavior of the conical K\"ahlerRicci
flow on Fano manifold $M$. First, based on our work of locally uniform
regularity for the twisted K\"ahlerRicci flows, we obtain a longtime solution
to the conical K\"ahlerRicci flow by limiting a sequence of these twisted
flows. Second, we study the uniform Perelman's estimates of the twisted
K\"ahlerRicci flows. After that, we prove that the conical K\"ahlerRicci flow
must converge to a conical K\"ahlerEinstein metric if there exists one.
