Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896472 | Journal of Geometry and Physics | 2011 | 15 Pages |
Abstract
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 three-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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Der-Chen Chang, Irina Markina, Alexander Vasil’ev,