Conical Kähler-Ricci flows on Fano manifolds

详细信息    查看全文

• 作者：Jiawei Liu^a ; ^{liujw24@mail.ustc.edu.cn} ; Xi Zhang^b ; ^{mathzx@ustc.edu.cn}
• 关键词：53C55 ; 32W20
• 刊名：Advances in Mathematics
• 出版年：2017
• 出版时间：5 February 2017
• 年：2017
• 卷：307
• 期：Complete
• 页码：1324-1371
• 全文大小：736 K
• 卷排序：307

文摘

In this paper, we study the long-term behavior of conical Kähler–Ricci flows on Fano manifolds. First, by proving uniform regularities for twisted Kähler–Ricci flows, we prove the existence of conical Kähler–Ricci flows by limiting these twisted flows. Second, we obtain uniform Perelman's estimates along twisted Kähler–Ricci flows by improving the original proof. After that, we prove that if there exists a conical Kähler–Einstein metric, then conical Kähler–Ricci flow must converge to it.