Convergence of general inverse 𝜎_{𝑘}-flow on Kähler manifolds with Calabi ansatz

Fang, Hao; Lai, Mijia

doi:10.1090/S0002-9947-2013-05947-8

Convergence of general inverse $\sigma _k$-flow on Kähler manifolds with Calabi ansatz
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by Hao Fang and Mijia Lai PDF

Trans. Amer. Math. Soc. 365 (2013), 6543-6567 Request permission

Abstract:

We study the convergence behavior of the general inverse $\sigma _k$-flow on Kähler manifolds with initial metrics satisfying the Calabi ansatz. The limiting metrics can be either smooth or singular. In the latter case, interesting conic singularities along negatively self-intersected subvarieties are formed as a result of partial blow up.

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