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math.DG2025
Metric Lines in the Space of Curves
Daniella Catalá, Miriam Vollmayr-Lee, Alejandro Bravo-Doddoli
This paper investigates sub-Riemannian geodesics in the jet space of curves. We establish the existence of two distinct families of metric lines, that is, globally minimizing geode…
math.SG2025
Abelian instances of nonabelian symplectic reduction
A. Bravo-Doddoli, L. C. García-Naranjo, E. Rigato
Let be a Lie group with a normal abelian subgroup , and let be a symplectic manifold endowed with a Hamiltonian -action. We investigate…