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Hopf fibration: geodesics and distances
Sub-Riemannian geometry Hopf fibration, geodesic Carnot-Carath´ eodory dis-tance
2010/12/13
Here we study geodesics connecting two given points on odd-dimensional spheres respecting the Hopf fibration. This geodesic boundary value problem is completely solved in the case of 3-dimensional sph...