A. Bravo-Doddoli

activity

20242026

collaborators

5 papers

math.SG2026

Abelian instances of nonabelian symplectic reduction

A. Bravo-Doddoli, L. C. GarcÃa-Naranjo, E. Rigato

Let $G$ be a Lie group with a normal abelian subgroup $A$ , and let $(M, I ¨ )$ be a symplectic manifold endowed with a Hamiltonian $G$ -action. We investigat…

math.DG2025

Metric Lines in the Space of Curves

Daniella CatalÃ¡, Miriam Vollmayr-Lee, Alejandro Bravo-Doddoli

This paper investigates sub-Riemannian geodesics within the jet space of curves. We establish the existence of two distinct families of metric lines, that is, globally minimizing g…

math.DG2025

Integrable sub-Riemannian geodesic flows on the special orthogonal group

Alejandro Bravo-Doddoli, Philip Arathoon, Anthony M. Bloch

We analyse the geometry of the rubber-rolling distribution on the special orthogonal group and show that almost all the normal geodesics of any right-invariant sub-Riemannian metri…

math.DG2025

Metric Lines in Engel-type Groups

Alejandro Bravo-Doddoli

In the framework of sub-Riemannian Manifolds, a relevant question is: what are the \enquote{metric lines} (i.e., the isometric embedding of the real line)? This article presents a…

math.DG2024

Metric Lines in the Special Euclidean group on the plane

Y. Wang, S. Ku, A. Bravo-Doddoli

The Special Euclidean group on the plane $S E (2)$ has the left-invariant sub-Riemannian structure. Every sub-Riemannian manifold possesses a Hamiltonian function governing the sub-R…