Connecting geodesics and security of configurations in compact locally symmetric spaces

Details Connecting geodesics and security of configurations in compact locally symmetric spaces Connecting geodesics and security of configurations in compact locally symmetric spaces

2005-08-18

arxiv.org/abs/math/0508355v1

Mathematics

Dynamical Systems

27 pages, 2 figures

Scientific paper

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.

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