Remarks on Chern-Einstein Hermitian metrics

Abstract

We study some basic properties and examples of Hermitian metrics on complex manifolds whose traces of the curvature of the Chern connection are proportional to the metric itself.

arXiv commentminor changes, to appear in Math. Z

References in corpus (4)

• The complex Monge-Ampère equation on compact Hermitian manifolds
• Gauduchon metrics with prescribed volume form
• Non-Kähler Calabi-Yau manifolds
• On Chern-Yamabe problem

Cited by in corpus (4)

• On cohomogeneity one Hermitian non-Kähler metrics
• On the linearization stability of the Chern-scalar curvature
• On some applications of Gauduchon metrics
• Blowing up Chern-Ricci flat balanced metrics