Sub-Finsler geometry in dimension three

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We define the notion of sub-Finsler geometry as a natural generalization of sub-Riemannian geometry with applications to optimal control theory. We compute a complete set of local invariants, geodesic equations, and the Jacobi operator for the three-dimensional case and investigate homogeneous examples.
29 pages, 4 figures

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Differential Geometry, Optimization and Control, 53C17, 53B40, 49J15 (Primary) 58A15, 53C10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/71641

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406439
 http://arxiv.org/abs/math/0406439

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arXiv