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math.DG2024
Closed geodesics on compact Lorentzian solvmanifolds
Pablo Montenegro, Gabriela P. Ovando
The aim of this work is the study of geodesics on Lorentzian homogeneous spaces of the form , where is a solvable Lie group endowed with a bi-invariant Lorentzian metric…
math.DG2024
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…