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arXiv · 1904.03831

A Note on Chern-Yamabe Problem

Simone Calamai·Fangyu Zou
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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.

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Simone Calamai, Fangyu Zou. 2019-04-08. A Note on Chern-Yamabe Problem. https://arxiv.org/abs/1904.03831

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