



@article {lackey2000metric,
	title = {Metric Equivalence of Path Spaces},
	journal = {Nonlinear Studies},
	volume = {7},
	number = {2},
	year = {2000},
	month = {2000/01/01},
	abstract = {Local equivalence and the invariants of systems of second order differential equations were studied in a series of papers by Kosambi, Cartan, and Chern. The resulting theory, deemed KCC-theory, is a rich geometric study which in many ways generalizes Riemannian and Finsler geometry. Yet, in many applications one requires a metric structure in addition to the systems of second order differential equations. We pose a geometry which is equipped with both of these structures, and solve the problem of local equivalence and thus determining a preferred connection and finding a generating set for all the invariants of the theory.},
	author = {Brad Lackey}
}
