Geodesic
SubRiemannian Geometry on the Sphere S3
Canadian journal of mathematics, Tome 61 (2009) no. 4, pp. 721-739

Voir la notice de l'article provenant de la source Cambridge University Press

We discuss the subRiemannian geometry induced by two noncommutative vector fields which are left invariant on the Lie group ${{\mathbb{S}}^{3}}$ .
DOI : 10.4153/CJM-2009-039-2
Mots-clés : 53C17, 53C22, 35H20, noncommutative Lie group, quaternion group, subRiemannian geodesic, horizontal distribution, connectivity theorem, holonomic constraint 
Calin, Ovidiu; Chang, Der-Chen; Markina, Irina. SubRiemannian Geometry on the Sphere S3. Canadian journal of mathematics, Tome 61 (2009) no. 4, pp. 721-739. doi: 10.4153/CJM-2009-039-2
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