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arxiv: math/0508355 · v1 · pith:TGI5TFMAnew · submitted 2005-08-18 · 🧮 math.DS · math.DG

Connecting geodesics and security of configurations in compact locally symmetric spaces

classification 🧮 math.DS math.DG
keywords securecompactconfigurationconnectinggeodesicslocallymanifoldsecurity
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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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