Connecting geodesics and security of configurations in compact locally symmetric spaces
Dynamical Systems
2012-12-03 v1 Differential Geometry
Abstract
A pair of points in a riemannian manifold makes a secure configuration if the totality of geodesics connecting them can be blocked by a finite set. The manifold is secure if every configuration is secure. We investigate the security of compact, locally symmetric spaces.
Keywords
Cite
@article{arxiv.math/0508355,
title = {Connecting geodesics and security of configurations in compact locally symmetric spaces},
author = {Eugene Gutkin and Viktor Schroeder},
journal= {arXiv preprint arXiv:math/0508355},
year = {2012}
}
Comments
27 pages, 2 figures