The behavior of the second Ricci flow on complex parallelizable manifolds
Differential Geometry
2025-01-22 v2
Abstract
We study the flow of Hermitian metrics governed by the second Chern-Ricci form on a compact complex manifolds. 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.
Keywords
Cite
@article{arxiv.2407.17061,
title = {The behavior of the second Ricci flow on complex parallelizable manifolds},
author = {Lucio Bedulli and Luigi Vezzoni},
journal= {arXiv preprint arXiv:2407.17061},
year = {2025}
}
Comments
New version of "The behavior of the Hermitian curvature flow with Q=0 on complex parallelizable manifolds", 14 pages. To appear in Commun. Contemp. Math