Hermitian metrics on complex non-Kähler manifolds

Authors

  • Daniele Angella

DOI:

https://doi.org/10.1285/i15900932v45s1p13

Keywords:

complex non-Kähler manifold, Hermitian metric, Chern connection, Chern curvature

Abstract

In this survey, we consider various analytic problems related to the geometry of the Chern connection on Hermitian manifolds, such as the existence of metrics with constant Chern-scalar curvature, generalizations of the Kähler-Einstein condition to the non-Kähler setting, and the convergence of the Chern-Ricci ow on compact complex surfaces.

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Published

20-01-2026

Issue

Volume 45, suppl. 1 (2025)

Section

Articoli

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http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode