Finite time extinction of the Kahler-Ricci flow

Simple item page
dc.creatorSong, Jian
dc.date2009-05-07
dc.date.accessioned2026-07-07T13:12:34Z
dc.date.available2026-07-07T13:12:34Z
dc.descriptionWe investigate the limiting behavior of the unnormalized Kahler-Ricci flow on a Kahler manifold with a polarized initial Kahler metric. We prove that the Kahler-Ricci flow becomes extinct in finite time if and only if the manifold has positive first Chern class and the initial Kahler class is proportional to the first Chern class of the manifold. This proves a conjecture of Tian for the smooth solutions of the Kahler-Ricci flow.
dc.identifierhttps://arxiv.org/abs/0905.0939
dc.identifierhttp://arxiv.org/abs/0905.0939
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229620
dc.subjectDifferential Geometry
dc.titleFinite time extinction of the Kahler-Ricci flow
dc.typetext

Files

Collections

arXiv