Sub-Riemannian geometry of parallelizable spheres
Sub-Riemannian geometry of parallelizable spheres
The first aim of the present paper is to compare various sub-Riemannian structures over the three dimensional sphere S^3 originating from different constructions. Namely, we describe the sub-Riemannian geometry of S^3 arising through its right action as a Lie group over itself, the one inherited from the natural complex structure …