A Note on Chern-Yamabe Problem
Differential Geometry
2021-03-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1904.03831,
title = {A Note on Chern-Yamabe Problem},
author = {Simone Calamai and Fangyu Zou},
journal= {arXiv preprint arXiv:1904.03831},
year = {2021}
}