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.
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Gutkin, E., Schroeder, V. Connecting Geodesics and Security of Configurations in Compact Locally Symmetric Spaces. Geom Dedicata 118, 185–208 (2006). https://doi.org/10.1007/s10711-005-9036-x
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DOI: https://doi.org/10.1007/s10711-005-9036-x
Keywords
- connecting geodesics
- blocking points
- restricted horocycle
- exponential map
- maximal flat
- restricted shadow
- singular configuration