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Sub-Finsler geometry in dimension three

Jeanne N. Clelland·Christopher G. Moseley
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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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Jeanne N. Clelland, Christopher G. Moseley. 2004-06-22. Sub-Finsler geometry in dimension three. https://arxiv.org/abs/math/0406439

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