A note on Chern-Yamabe problem

被引：6
|
作者：
Calamai, Simone [1 ]
Zou, Fangyu [2 ]
机构：
[1] Univ Firenze, Dipartimento Matemat & Informat Ulisse Dini, Via Morgagni 67-A, I-50134 Florence, Italy
[2] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2020年 / 69卷
关键词：
Chern-Yamabe problem; Constant Chern scalar curvature;
D O I：
10.1016/j.difgeo.2020.101612
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose a flow to study the Chern-Yamabe problem and discuss the long time existence of the flow. In the balanced case we show that the Chern-Yamabe problem is the Euler-Lagrange equation of some functional. The monotonicity of the functional along the flow is derived. We also show that the functional is not bounded from below. (C) 2020 Elsevier B.V. All rights reserved.
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页数：14
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