34 citations · 50 across the 12 of their papers we have counts for
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math.DG2024
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.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 has the left-invariant sub-Riemannian structure. Every sub-Riemannian manifold possesses a Hamiltonian function governing the sub-R…
math.DG2024
Metric Lines in Engel-type Groups
Alejandro Bravo-Doddoli
In the framework of sub-Riemannian manifolds, a natural question is: What are the ''metric lines'' (i.e., isometric embeddings of the real line)? This article presents a conjecture…