Jian Song
Published 2012-03-13Version 1
We prove that the Ricci flow on CP^n blown-up at one point starting with any rotationally symmetric Kahler metric must develop Type I singularities. In particular, if the total volume does not go to zero at the singular time, the parabolic blow-up limit of the Type I Ricci flow along the exceptional divisor is a complete non-flat shrinking gradient Kahler-Ricci soliton on a complete Kahler manifold homeomorphic to C^n blown-up at one point.
Rotational symmetry and properties of the ancient solutions of Ricci flow on surfaces
On type-II singularities in Ricci flow on $\mathbb{R}^{N}$
The Existence of Type II Singularities for the Ricci Flow on $S^{n+1}$
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