1 citations · 3 across the 9 of their papers we have counts for
9 papers
Magnetic equations on the Heisenberg group: symmetries, solutions and the inverse problem of the calculus of variations
Gabriela Ovando, Mauro Subils
The Heisenberg Lie group is modeled on the differentiable structure of but equipped with another non-commutative product operation. By fixing the usual metric…
Closed Magnetic geodesics on Heisenberg nilmanifolds
Gabriela P. Ovando, Mauro Subils
In this work we study the existence of closed magnetic geodesics on three-dimensional Heisenberg nilmanifolds for every left-invariant Lorentz force. Our first objective is to esta…
Symplectic structures on low dimensional 2-step nilmanifolds
Gabriela P. Ovando, Mauro Subils
The aim of this work is the study of symplectic structures on 2-step nilmanifolds. We concentrate in the closeness condition, proving that the existence of a closed 2-form of type…
Magnetic fields on non-singular 2-step nilpotent Lie groups
Gabriela P. Ovando, Mauro Subils
The aim of this work is the study of left-invariant magnetic fields on 2-step nilpotent Lie groups. While the existence of closed 2-forms for which the center is either nondegenera…
Magnetic trajectories on 2-step nilmanifolds
Gabriela P. Ovando, Mauro Subils
The aim of this work is the study of magnetic trajectories on nilmanifolds. The magnetic equation is written and the corresponding solutions are found for a family of invariant Lor…
Explicit fundamental solution for the operator on the Gelfand pair
Isolda E. Cardoso, Mauro Subils, Raúl E. Vidal
By means of the spherical functions associated to the Gelfand pair we define the operator , where denotes the Heisenberg sublaplacian and de…
Parabolic nilradicals of Heisenberg type, II
Aroldo Kaplan, Mauro Subils
Every real simple non-compact Lie algebra not isomorphic to contains a unique standard parabolic subalgebra whose nilradical is a generalized Heisenberg algebr…
Parabolic nilradicals of Heisenberg type
Aroldo Kaplan, Mauro Subils
We show that every non-compact simple real Lie algebra not isomorphic to so(n,1) has a unique conjugacy class of parabolic subalgebras whose nilradical is of Heisenberg type, or no…
Solvable models for Kodaira surfaces
Sergio Console, Gabriela P. Ovando, Mauro Subils
We consider three families of lattices on the oscillator group , which is an almost nilpotent not completely solvable Lie group, giving rise to coverings $G \to M_{k, 0} \to M_{…