Blow-up rate of the scalar curvature along the conical Kahler-Ricci flow with finite time singularities

被引：4

作者：

Nomura, Ryosuke ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2018年 / 58卷

关键词：

Conical Kahler-Ricci flow; Twisted Kahler-Ricci flow; Monge-Ampere equation; Cone metric; Scalar curvature;

D O I：

10.1016/j.difgeo.2017.12.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the scalar curvature behavior along the normalized conical Kahler-Ricci flow omega(t), which is the conic version of the normalized Kahler-Ricci flow, with finite maximal existence time T < infinity. We prove that the scalar curvature of omega(t) is bounded from above by C/(T-t)(2) under the existence of a contraction associated to the limiting cohomology class [omega(T)]. This generalizes Zhang's work to the conic case. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：1 / 16

页数：16

共 43 条

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