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Paper detail

Hopf fibration: geodesics and distances

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 sphere and some partial results are obtained in the general case. The Carnot-Carathéodory distance is calculated. We also present some motivations related to quantum mechanics.

preprint2010arXivOpen access
Der-Chen ChangIrina MarkinaAlexander Vasil'ev
math.DG
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Der-Chen ChangIrina MarkinaAlexander Vasil'ev

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