Effective universal coverings and local minima of the length functional on loop spaces

  • Alexander Nabutovsky
  • Published 2009
In this paper we describe a construction of effective universal coverings of Riemannian manifolds (and, more generally, of path metric spaces). We give two applications of this construction. To describe the first application let M be a simply connected closed Riemannian manifold, and ΩxM n denote the space of all loops based at a point x ∈ M. We demonstrate… CONTINUE READING