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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…
math.DG2026
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…