| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4606771 | Differential Geometry and its Applications | 2006 | 24 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jeanne N. Clelland, Christopher G. Moseley,