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.
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页码：1 / 16
页数：16
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