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math.DG2024★ 1 cited
Construction of symplectic solvmanifolds satisfying the hard-Lefschetz condition
Adrián Andrada, Agustín Garrone
A compact symplectic manifold is said to satisfy the hard-Lefschetz condition if it is possible to develop an analogue of Hodge theory for . This loosely means tha…
math.DG2024★ 4 cited
Applications of the quaternionic Jordan form to hypercomplex geometry
Adrián Andrada, María Laura Barberis
We apply the quaternionic Jordan form to classify the hypercomplex nilpotent almost abelian Lie algebras in all dimensions and to carry out the complete classification of 12-dimens…
math.DG2023
Isospectral CR manifolds with respect to the Kohn Laplacian
Gerson Gutierrez, Emilio A. Lauret, Juan Pablo Rossetti
We prove that the spectrum of the Kohn Laplacian does not determine the equivalence classes of CR manifolds. We construct pairs of odd-dimensional elliptic manifolds that are not e…