Sub-Finsler geometry in dimension three |
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| Authors: | Jeanne N. Clelland |
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| Affiliation: | a Department of Mathematics, 395 UCB, University of Colorado, Boulder, CO 80309-0395, USA
b Department of Mathematical Sciences, US Military Academy, West Point, NY 10996, USA |
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| Abstract: | 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. |
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| Keywords: | primary, 53C17, 53B40, 49J15 secondary, 58A15, 53C10 |
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