Some type i solutions of ricci flow with rotational symmetry

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We prove that the Ricci flow on CPn 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 nonflat shrinking gradient Kahler-Ricci soliton on a complete Kahler manifold homeomorphic to Cn blown-up at one point.

Original languageAmerican English
Pages (from-to)7365-7381
Number of pages17
JournalInternational Mathematics Research Notices
Issue number16
StatePublished - 2015

ASJC Scopus subject areas

  • Mathematics(all)


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