The goal of this note is to give an introduction to locally conformally symplectic and Kähler
geometry. In particular, the first two sections aim to provide the reader with enough …

The aim of this paper is to continue the study of Kodaira dimension for almost complex
manifolds, focusing on the case of compact 4-dimensional solvmanifolds without any …

We report on a question, posed by L. Ornea and M. Verbitsky in [32], about examples of
compact locally conformal symplectic manifolds without locally conformal Kähler metrics. We …

We classify and investigate locally conformally Kähler structures on four-dimensional
solvable Lie algebras up to linear equivalence. As an application we can produce many …

We study four-dimensional second Chern-Einstein almost-Hermitian manifolds. In the
compact case, we observe that under a certain hypothesis, the Riemannian dual of the Lee …

We study 4-dimensional second-Chern-Einstein almost-Hermitian manifolds. In the compact
case, we observe that under a certain hypothesis the Riemannian dual of the Lee form is a …

J-trajectories are arc-length-parameterized curves in almost Hermitian manifolds, which
satisfy the equation∇ γ˙ γ˙= q J γ˙. In this paper, J-trajectories in the solvable Lie group Sol 1 …

This short note provides a symplectic analogue of Vaisman's theorem in complex geometry.
Namely, for any compact symplectic manifold satisfying the hard Lefschetz condition in …

A Hermitian structure on a manifold is called locally conformally Kähler (LCK) if it locally
admits a conformal change which is Kähler. In this survey we review recent results of …

In this paper, we construct examples of exact Lagrangians (of" locally conformally
symplectic" type) in cotangent bundles of closed manifolds with locally conformally …