15 citations · 82 across the 31 of their papers we have counts for
34 papers · 1 filter
On Compact Hermitian Surfaces With Positive Strominger-Bismut Sectional Curvature
Qingsong Wang, Shing-Tung Yau, Fangyang Zheng
In an earlier work, Yau and Zheng proposed a Hermitian analogue of a weak form of the Frankel conjecture, which states that any compact Hermitian manifold with positive Strominger-…
Orthogonal complex structures on flat tori
Qingsong Wang, Shing-Tung Yau, Fangyang Zheng
We classify compact Hermitian manifolds with flat Levi-Civita connection. This is equivalent to the classification of all orthogonal complex structures on flat tori. It generalized…
Bismut Kähler-like manifolds of dimension 4 and 5
Quanting Zhao, Fangyang Zheng
This paper is a sequel to our studies \cite{ZZ} and \cite{YZZ} on Bismut Kähler-like manifolds, or {\em BKL} manifolds for short. We will study the structural theorems for {\em BKL…
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…