摘要

We study the behavior of the kahler-Ricci flow on some Fano bundles which is a trivial bundle on one Zariski open set. We show that if the fiber is P-m blown up at one point or some weighted projective space blown up at the orbifold point and the initial metric is in a suitable Kahler class, then the fibers collapse in finite time and the metrics converge sub-sequentially in Gromov-Hausdorff sense to a metric on the base.