In this paper we study the Carnot-Caratheodory metrics on SU(2) ¿ S 3 , SO(3) and SL(2) induced by their Cartan decomposition and by the Killing form.

In this paper we study the global structure of the cut locus (set of points reached optimally by more than one geodesic) for the simplest sub-Riemannian ...

The main tool is the noncommutative Fourier transform. We then study some relevant cases: SU(2), SO(3), SL(2) (with the metrics inherited by the Killing form), ...

Bibliographic details on Shortest paths on 3-D simple Lie groups with nonholonomic constraint.

Shortest paths on 3-D simple Lie groups with nonholonomic constraint. Boscain U., Rossi F. Expand. Publication type: Proceedings Article.

Abstract—This paper presents a complete characterization of shortest paths to a goal position for a robot with unicycle kinematics and an on-board camera ...

May 25, 2016 · Rossi, “Shortest paths on 3-D simple Lie groups with nonholonomic constraint,” Proc. of the 47th IEEE Conf. on Decision and Control (Cancun ...

Abstract—This paper presents a complete characterization of shortest paths to a goal position for a robot with unicycle kinematics and an on-board camera ...

Introduction. The purpose of group theory is to give a mathematical treatment of symmetries. For example, symmetries of a set of n elements form the.

This document consists of lectures notes from a course at Stanford University in Spring quarter 2018, along with appendices written by Conrad as supplements ...