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 …

Some recent progress in non-Kähler geometry Page 1 SCIENCE CHINA Mathematics
November 2019 Vol.62 No.11: 2423–2434 https://doi.org/10.1007/s11425-019-9528-1 c⃝ …

In this paper, we give a classification of all compact Hermitian manifolds with flat Bismut
connection. We show that the torsion tensor of such a manifold must be parallel, thus the …

This paper is a sequel to our studies\cite {ZZ} and\cite {YZZ} on Bismut K\" ahler-like
manifolds, or {\em BKL} manifolds for short. We will study the structural theorems for {\em …

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 …

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 …

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 …

In this paper, we study a special type of compact Hermitian manifolds that are Strominger K\"
ahler-like, or SKL for short. This condition means that the Strominger connection (also …

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 …

In this article, we propose the following conjecture: if the Strominger connection of a compact
Hermitian manifold has constant non-zero holomorphic sectional curvature, then the …