17 citations · 43 across the 22 of their papers we have counts for
24 papers · 1 filter
On a class of almost Hermitian 4-manifolds
Ethan Addison, Tedi Draghici, Mehdi Lejmi
Using an integral identity proved by Sekigawa \cite{Sek87} on compact almost Hermitian 4-manifolds, we naturally obtain a global characterization of the class of a…
On balanced HKT manifolds
Giovanni Gentili, Mehdi Lejmi
We prove the openness of the balanced HKT cone within the cone of HKT structures on a compact hypercomplex manifold . We also study the Lie algebra of hyperholomorphic v…
Generalized almost-Kähler-Ricci solitons
Michael Albanese, Giuseppe Barbaro, Mehdi Lejmi
We generalize Kähler-Ricci solitons to the almost-Kähler setting as the zeros of Inoue's moment map \cite{MR4017922}, and show that their existence is an obstruction to the existen…
On the invariant and anti-invariant cohomologies of hypercomplex manifolds
Mehdi Lejmi, Nicoletta Tardini
A hypercomplex structure on a manifold is said to be -pure-and-full if the Dolbeault cohomology is the direct sum of two natural s…
Canonical almost-Kähler metrics dual to general plane-fronted wave Lorentzian metrics
Mehdi Lejmi, Xi Sisi Shen
In the compact setting, Aazami and Ream \cite{Aazami:2022th} proved that Riemannian metrics dual to a class of Lorentzian metrics, called (compact) general plane-fronted waves, are…
Second-Chern-Einstein metrics on 4-dimensional almost-Hermitian manifolds
Giuseppe Barbaro, Mehdi Lejmi
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 Ki…