5 papers
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…
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…
Magnetic Killing tensors and first integrals of the magnetic flow
Andrei Moroianu, Gabriela Ovando
In this work we introduce a new family of symmetric tensors generalizing Killing tensors, that we call magnetic Killing symmetric tensors. We make use of them to construct first in…
The mean curvature flow of subgroups on Lie groups of dimension three
Romina M. Arroyo, Gabriela P. Ovando, Mariel Sáez
In this work we study the existence of solutions to the Mean Curvature Flow for which the initial condition has the structure of a two-dimensional Lie subgroup within a Lie group o…
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 metri…