| Title: | Security and insecurity in Riemannian manifolds |
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| Seminar: | Center for Dynamics and Geometry Seminar |
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| Speaker: | Keith Burns (Northwestern) |
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| Abstract: |
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| Two points in a Riemannian manifold form a secure configuration if all geodesics between them can be blocked by a finite number of points; otherwise they are insecure. I will survey the few known results.
In particular for compact manifolds with no conjugate points there is an alternative: either the manifold is flat and all configurations are secure or the manifold is not flat and all configurations are insecure. |
