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arXiv · 2503.16936

Hermitian metrics on complex non-K\"ahler manifolds

Daniele Angella
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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.

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Daniele Angella. 2025-03-21. Hermitian metrics on complex non-K\"ahler manifolds. https://arxiv.org/abs/2503.16936

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