Semi - Riemannian Geometry with Nonholonomic Constraints

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dc.creatorKorolko, Anna
dc.creatorMarkina, Irina
dc.date2009-01-11
dc.date.accessioned2026-07-07T12:28:22Z
dc.date.available2026-07-07T12:28:22Z
dc.descriptionIn the present article the geometry of semi-Riemannian manifolds with nonholonomic constraints is studied. These manifolds can be considered as analogues to the sub-Riemannian manifolds, where the positively definite metric is substituted by a nondegenerate metric. To study properties of the exponential map the Christoffel symbols and other differential operators were introduced. We study solutions of the Hamiltonian system and their projections into the underlying manifold. The explicit formulae were found for a specific example of a semi-Riemannian manifold with nonholonomic constraints.
dc.identifierhttps://arxiv.org/abs/0901.1477
dc.identifierhttp://arxiv.org/abs/0901.1477
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215515
dc.subjectDifferential Geometry
dc.subjectOptimization and Control
dc.subject53C50; 53B30; 53C17
dc.titleSemi - Riemannian Geometry with Nonholonomic Constraints
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