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Connecting geodesics and security of configurations in compact locally symmetric spaces

Eugene Gutkin·Viktor Schroeder
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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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Eugene Gutkin, Viktor Schroeder. 2005-08-18. Connecting geodesics and security of configurations in compact locally symmetric spaces. https://arxiv.org/abs/math/0508355

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