On Hermitian manifolds whose Chern connection is Ambrose-Singer

Ni, Lei; Zheng, Fangyang

doi:10.1090/tran/8956

On Hermitian manifolds whose Chern connection is Ambrose-Singer
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by Lei Ni and Fangyang Zheng;

Trans. Amer. Math. Soc. 376 (2023), 6681-6707

DOI: https://doi.org/10.1090/tran/8956

Published electronically: June 21, 2023

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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.

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