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math.DG2025
Spectral properties of magnetic fields on sub-Riemannian contact manifolds
Riccardo Bonalli, Dario Prandi
Motivated by some recent studies of the magnetic Laplacian on Riemannian manifolds, we focus on the first eigenvalue of the magnetic horizontal Laplacian on contact manifolds. We c…
math.DS2025
Asymptotics of motion planning complexity for control-affine systems
Michele Motta, Dario Prandi
In this paper, we study the complexity of the approximation of nonadmissible curves for nonlinear control-affine systems satisfying the strong H{ö}rmander condition. Focusing on tu…
math.SP2025
Schrödinger evolution on surfaces in 3D contact sub-Riemannian manifolds
Riccardo Adami, Ugo Boscain, Dario Prandi +1
Let be a 3-dimensional contact sub-Riemannian manifold and a surface embedded in . Such a surface inherits a field of directions that becomes singular at characteristic…