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math.DG2026
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…
math.DG2026
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…