On Hermitian manifolds whose Chern connection is Ambrose-Singer
Differential Geometry
2023-08-02 v3
Abstract
We consider the class of compact Hermitian manifolds whose Chern connection is Ambrose-Singer, namely, it has parallel torsion and curvature. We prove structure theorems for such manifolds.
Cite
@article{arxiv.2208.10040,
title = {On Hermitian manifolds whose Chern connection is Ambrose-Singer},
author = {Lei Ni and Fangyang Zheng},
journal= {arXiv preprint arXiv:2208.10040},
year = {2023}
}