Sub-Riemannian geodesics on the 3-D sphere

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dc.creatorChang, Der-Chen
dc.creatorMarkina, Irina
dc.creatorVasil'ev, Alexander
dc.date2008-04-10
dc.date2008-06-03
dc.date.accessioned2026-07-07T09:42:01Z
dc.date.available2026-07-07T09:42:01Z
dc.descriptionThe unit sphere $\mathbb S^3$ can be identified with the unitary group SU(2). Under this identification the unit sphere can be considered as a non-commutative Lie group. The commutation relations for the vector fields of the corresponding Lie algebra define a 2-step sub-Riemannian manifold. We study sub-Riemannian geodesics on this sub-Riemannian manifold making use of the Hamiltonian formalism and solving the corresponding Hamiltonian system.
dc.description13 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0804.1695
dc.identifierhttp://arxiv.org/abs/0804.1695
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162033
dc.subjectDifferential Geometry
dc.subject53C17; 70H05
dc.titleSub-Riemannian geodesics on the 3-D sphere
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