On Hermitian manifolds whose Chern connection is Ambrose-Singer

Lei Ni; Fangyang Zheng

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arXiv · 2208.10040

On Hermitian manifolds whose Chern connection is Ambrose-Singer

Lei Ni·Fangyang Zheng

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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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Lei Ni, Fangyang Zheng. 2022-08-22. On Hermitian manifolds whose Chern connection is Ambrose-Singer. https://arxiv.org/abs/2208.10040

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