A note on Chern-Yamabe problem

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 funct...

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Veröffentlicht in:	Differential geometry and its applications 2020-04, Vol.69, p.101612, Article 101612
Hauptverfasser:	Calamai, Simone, Zou, Fangyu
Format:	Artikel
Sprache:	eng
Schlagworte:	Chern-Yamabe problem Constant Chern scalar curvature
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	0926-2245 1872-6984
DOI:	10.1016/j.difgeo.2020.101612