15 citations · 82 across the 31 of their papers we have counts for
4 papers · 1 filter
Hermitian geometry of Lie algebras with abelian ideals of codimension
Yuqin Guo, Fangyang Zheng
We examine Hermitian metrics on unimodular Lie algebras which contains a -invariant abelian ideal of codimension two, and give a classification for all Bismut Kähler-like and al…
On Hermitian manifolds whose Chern connection is Ambrose-Singer
Lei Ni, Fangyang Zheng
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 m…
On Hermitian manifolds with Bismut-Strominger parallel torsion
Quanting Zhao, Fangyang Zheng
In this article, we study Hermitian manifolds whose Bismut-Strominger connection has parallel torsion tensor, which will be called {\em Bismut torsion parallel manifolds,} or {\em…
On a variational theorem of Gauduchon and torsion-critical manifolds
Dongmei Zhang, Fangyang Zheng
In 1984, Gauduchon considered the functional of -norm of his torsion -form on a compact Hermitian manifold. He obtained the Euler-Lagrange equation for this functional, and…