OpenAlex | Invariant Carnot–Caratheodory Metrics on $S^3$, $SO(3)$, $SL(2)$, and Lens Spaces

Invariant Carnot–Caratheodory Metrics on $S^3$, $SO(3)$, $SL(2)$, and Lens Spaces

Work

Year: 2008

Type: article

Abstract: In this paper we study the Carnot–Caratheodory metrics on $SU(2)\simeq S^3$, $SO(3)$, and $SL(2)$ induced by their Cartan decomposition and by the Killing form. Besides computing explicitly geodesics ... more

Source: SIAM Journal on Control and Optimization

Authors Ugo Boscain, Francesco Rossi

Institution Scuola Internazionale Superiore di Studi Avanzati

Cites: 24

Cited by: 151

Related to: 10

FWCI: 10.68

Citation percentile (by year/subfield): 97.61

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green