We show how locally smooth actions of compact Lie groups on a manifold X can be used to obtain new upper bounds for the topological complexity TC(X), in the sense of Farber. We also obtain new bounds for the topological complexity of finitely generated torsion-free nilpotent groups. (C) 2011 Elsevier B.V. All rights reserved.
- topological complexity
- transformation groups
- Lusternik-Schnirelmann category
- robot motion