34 citations · 50 across the 12 of their papers we have counts for
Showing 2026Show all
2 papers · 1 filter
math.DG2026
Optimal Synthesis on the Special Linear Group
Marcus T. C. Lau, Alejandro Bravo-Doddoli
We study the exponential map on the group of real two-by-two matrices with determinant one, endowed with a left-invariant Riemannian metric. Using the Euler-Poincaré equation and i…
math.DS2026
The Integrability of a knife-edge Billiard in a Disk
Alejandro Bravo-Doddoli, Huaidian Hou, William Clark +1
This paper proves the integrability of a nonholonomic billiard defined by a knife-edge in a disk. The paper begins by parametrizing the impact space using coordinates that reveal t…