an:01431782
Zbl 0941.53021
Montgomery, R.
A survey of singular curves in sub-Riemannian geometry
EN
J. Dyn. Control Syst. 1, No. 1, 49-90 (1995).
00065113
1995
j
53C17 49K30 53C22 58E10
singular curve; length minimizing geodesic; sub-Riemannian manifold
Author's abstract: ``Sub-Riemannian geometry is the geometry of a distribution of \(k\)-planes on an \(n\)-dimensional manifold with a smoothly varying inner product on the \(k\)-planes. Singular curves are singularities of the space of paths tangent to the distribution and joining two fixed points. This survey is devoted to the singular curves, which can be length minimizing geodesics, independent of the choice of inner product''.