20 citations · 71 across the 12 of their papers we have counts for
14 papers
On balanced Hermitian threefolds with parallel Bismut torsion
Quanting Zhao, Fangyang Zheng
We continue our study on Hermitian manifolds that are {\em Bismut torsion parallel,} or {\em BTP} for brevity, which means that the Bismut connection has parallel torsion tensor. F…
Curvature characterization of Hermitian manifolds with Bismut parallel torsion
Quanting Zhao, Fangyang Zheng
In this article, we study Hermitian manifolds whose Bismut connection has parallel torsion, which will be called {\em Bismut torsion parallel manifolds,} or {\em BTP} manifolds for…
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…
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 Gauduchon Kähler-like manifolds
Quanting Zhao, Fangyang Zheng
In a paper by Angella, Otal, Ugarte, and Villacampa, the authors conjectured that on a compact Hermitian manifold, if a Gauduchon connection other than Chern or Strominger is Kähle…
Maximal nilpotent complex structures
Qin Gao, Quanting Zhao, Fangyang Zheng
Let the pair be a nilpotent Lie algebra (NLA for short) endowed with a nilpotent complex structure . In this paper, motivated by a question in…
Extension formulas and deformation invariance of Hodge numbers
Sheng Rao, Quanting Zhao
We introduce a canonical isomorphism from the space of pure-type complex differential forms on a compact complex manifold to the one on its infinitesimal deformations. By use of th…
On Strominger Kähler-like manifolds with degenerate torsion
Shing-Tung Yau, Quanting Zhao, Fangyang Zheng
In this paper, we study a special type of compact Hermitian manifolds that are Strominger Kähler-like, or SKL for short. This condition means that the Strominger connection (also k…
Complex nilmanifolds and Kähler-like connections
Quanting Zhao, Fangyang Zheng
In this note, we analyze the question of when will a complex nilmanifold have Kähler-like Strominger (also known as Bismut), Chern, or Riemannian connection, in the sense that the…
Strominger connection and pluriclosed metrics
Quanting Zhao, Fangyang Zheng
In this paper, we prove a conjecture raised by Angella, Otal, Ugarte, and Villacampa recently, which states that if the Strominger connection (also known as Bismut connection) of a…
On local stabilities of -Kähler structures
Sheng Rao, Xueyuan Wan, Quanting Zhao
By use of a natural extension map and a power series method, we obtain a local stability theorem for p-Kähler structures with the -th mild -lemma und…
Power series proofs for local stabilities of Kähler and balanced structures with mild -lemma
Sheng Rao, Xueyuan Wan, Quanting Zhao
By use of a natural map introduced recently by the first and third authors from the space of pure-type complex differential forms on a complex manifold to the corresponding one on…
Several special complex structures and their deformation properties
Sheng Rao, Quanting Zhao
We introduce a natural map from the space of pure-type complex differential forms on a complex manifold to the corresponding one on the infinitesimal deformations of this complex m…
New proofs of the Torelli theorems for Riemann surfaces
Kefeng Liu, Quanting Zhao, Sheng Rao
In this paper, by using the Kuranishi coordinates on the Teichmüller space and the explicit deformation formula of holomorphic one-forms on Riemann surface, we give an explicit exp…