A Note on Chern-Yamabe Problem

2019/04/08 by Calamai, Simone, Zou, Fangyu · 2 citations
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1904.03831

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.

Cited by

• Almost-Hermitian and Hermitian metrics
• Prescribed Chern scalar curvatures on complete Hermitian manifolds

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