Sub-Finsler geometry in dimension three
微分几何
2007-05-23 v1 最优化与控制
摘要
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.
引用
@article{arxiv.math/0406439,
title = {Sub-Finsler geometry in dimension three},
author = {Jeanne N. Clelland and Christopher G. Moseley},
journal= {arXiv preprint arXiv:math/0406439},
year = {2007}
}
备注
29 pages, 4 figures