activity
20062026
most citedExistence of HKT metrics on hypercomplex manifolds of real dimension 8

17 citations · 43 across the 22 of their papers we have counts for

collaborators

26 papers

cs.CL2026★ 2 cited

CitiLink-Minutes: A Multilayer Annotated Dataset of Municipal Meeting Minutes

Ricardo Campos, Ana Filipa Pacheco, Ana Luísa Fernandes +13

City councils play a crucial role in local governance, directly influencing citizens' daily lives through decisions made during municipal meetings. These deliberations are formally…

math.DG2025

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…

math.DG2025

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…

math.SG2024

Conformally symplectic structures and the Lefschetz condition

Mehdi Lejmi, Scott O. Wilson

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 degr…

math.DG2024

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…

math.DG2023

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…