Sub-Finsler geometry in dimension three

Details Sub-Finsler geometry in dimension three Sub-Finsler geometry in dimension three

2004-06-22

arxiv.org/abs/math/0406439v1

Mathematics

Differential Geometry

29 pages, 4 figures

Scientific paper

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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