Geometria Complessa e Geometria Differenziale
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D. Angella

Hermitian metrics on complex non-Kähler manifolds

created by daniele on 24 Mar 2025
modified on 06 Dec 2025

[BibTeX]

Published Paper

Inserted: 24 mar 2025
Last Updated: 6 dec 2025

Journal: Note Mat.
Volume: 45
Number: suppl. 1
Pages: 13–44
Year: 2025
Doi: 10.1285/i15900932v45s1p13

ArXiv: 2503.16936 PDF

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 K\"ahler-Einstein condition to the non-K\"ahler setting, and the convergence of the Chern-Ricci flow on compact complex surfaces.

Tags: PRIN2022-MFDS

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