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math.DG2023★ 1 cited
A note on compact homogeneous manifolds with Bismut parallel torsion
Fabio Podestà, Fangyang Zheng
In this article, we investigate the class of Hermitian manifolds whose Bismut connection has parallel torsion ({\rm BTP} for brevity). In particular, we focus on the case where the…
math.DG2023
A classification of locally Chern homogeneous Hermitian manifolds
Lei Ni, Fangyang Zheng
We apply the algebraic consideration of holonomy systems to study Hermitian manifolds whose Chern connection is Ambrose-Singer and prove structure theorems for such manifolds. The…