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 …

We study the asymptotic behavior of the pluriclosed flow in the case of left‐invariant
Hermitian structures on Lie groups. We prove that solutions on 2‐step nilpotent Lie groups …

We review some constructions and properties of complex manifolds admitting pluriclosed
and balanced metrics. We prove that for a 6-dimensional solvmanifold endowed with an …

A Hermitian-symplectic metric is a Hermitian metric whose K\" ahler form is given by the $(1,
1) $-part of a closed $2 $-form. Streets-Tian Conjecture states that a compact complex …

By a remarkable result by WL Chow,[Cho49, Theorem V], see also [Ser56], projective
manifolds (that is, compact complex submanifolds of CPn WD CnC1 n f0g ı. C n f0g/, for n 2 …

On a complex manifold a Hermitian metric which is simultaneously SKT and balanced has to
be necessarily Kähler. It has been conjectured that if a compact complex manifold $(M, J) …

We study the existence of three classes of Hermitian metrics on certain types of compact
complex manifolds. More precisely, we consider balanced, strong Kähler with torsion (SKT) …

We determine the 6D solvmanifolds admitting an invariant complex structure with
holomorphically trivial canonical bundle. Such complex structures are classified up to …

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 this paper we investigate the existence of invariant SKT, balanced and generalized Kähler
structures on compact quotients Γ﹨ G, where G is an almost nilpotent Lie group whose …