Year: 2025
Type: article
Abstract: In this paper, we study the flow of Hermitian metrics governed by the second Chern–Ricci form on a compact complex manifold. The flow belongs to the family of Hermitian curvature flows introduced by Streets and Tian and it was considered by Lee in order to study compact Hermitian manifolds with almost negative Chern bisectional curvature. We show a regularity result on compact complex parallelizable manifolds and we prove that Chern-flat metrics are dynamically stable.
Authors: Lucio Bedulli, Luigi Vezzoni
Institutions: University of L'Aquila, University of Turin
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4407149059