Geodesic
Ricci flow on quasiprojective manifolds II
Journal of the European Mathematical Society, Tome 18 (2016) no. 8, pp. 1813-1854.

Voir la notice de l'article provenant de la source EMS Press

We study the Ricci flow on complete Kähler metrics that live on the complement of a divisor in a compact complex manifold. In earlier work, we considered finite-volume metrics which, at spatial infinity, are transversely hyperbolic. In the present paper we consider three different types of spatial asymptotics: cylindrical, bulging and conical. We show that in each case, the asymptotics are preserved by the Kähler–Ricci flow.We address long-time existence, parabolic blowdown limits and the role of the Kähler–Ricci flow on the divisor.
DOI : 10.4171/jems/630
Classification : 53-XX, 32-XX
Keywords: Ricci flow, Kähler, quasiprojective 
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     author = {John Lott and Zhou Zhang},
     title = {Ricci flow on quasiprojective manifolds {II}},
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John Lott; Zhou Zhang. Ricci flow on quasiprojective manifolds II. Journal of the European Mathematical Society, Tome 18 (2016) no. 8, pp. 1813-1854. doi : 10.4171/jems/630. http://geodesic.mathdoc.fr/articles/10.4171/jems/630/

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