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A note on Chern-Yamabe problem
Differential Geometry and its Applications ( IF 0.6 ) Pub Date : 2020-02-27 , DOI: 10.1016/j.difgeo.2020.101612 Simone Calamai , Fangyu Zou
中文翻译:
关于Chern-Yamabe问题的注释
更新日期:2020-02-27
Differential Geometry and its Applications ( IF 0.6 ) Pub Date : 2020-02-27 , DOI: 10.1016/j.difgeo.2020.101612 Simone Calamai , Fangyu Zou
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.
中文翻译:
关于Chern-Yamabe问题的注释
我们提出一个流程来研究Chern-Yamabe问题,并讨论该流程的长期存在。在平衡情况下,我们证明了Chern-Yamabe问题是某些泛函的Euler-Lagrange方程。推导了函数沿流的单调性。我们还显示该功能不受下面限制。