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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…