A Tour of Subriemannian Geometries, Their Geodesics and Applications

@inproceedings{Montgomery2006ATO,
  title={A Tour of Subriemannian Geometries, Their Geodesics and Applications},
  author={R. Montgomery},
  year={2006}
}
Geodesics in subriemannian manifolds: Dido meets Heisenberg Chow's theorem: Getting from A to B A remarkable horizontal curve Curvature and nilpotentization Singular curves and geodesics A zoo of distributions Cartan's approach The tangent cone and Carnot groups Discrete groups tending to Carnot geometries Open problems Mechanics and geometry of bundles: Metrics on bundles Classical particles in Yang-Mills fields Quantum phases Falling, swimming, and orbiting Appendices: Geometric mechanics… Expand