Writing long books is a laborious and impoverishing act of foolishness: expanding in five
hundred pages an idea that could be perfectly explained in a few minutes. A better …

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 balanced Hermitian structures on almost abelian Lie algebras, ie on Lie algebras
with a codimension-one abelian ideal. In particular, we classify six-dimensional almost …

We study Hermitian metrics with a Gauduchon connection being" K\" ahler-like", namely,
satisfying the same symmetries for curvature as the Levi-Civita and Chern connections. In …

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 …

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 propose a new construction of compact non-Kähler Calabi–Yau manifolds with balanced
metrics and study the Strominger system on them. In particular, we obtain explicit solutions …

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 …

Hermitian geometry of Lie algebras with abelian ideals of codimension 2 | Mathematische
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