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。