For more information about this meeting, contact Anatole Katok, Dmitri Burago.
| Title: | Riemannian Metrics on S^2 with Total Absence of Finite Blocking |
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| Seminar: | Center for Dynamics and Geometry Seminar |
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| Speaker: | Marlies Gerber, Indiana University |
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| Abstract: |
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| If (M,g) is a Riemannian manifold and (x,y) is in M x M, then
a subset P of M\{x,y} is said to be a blocking set for (x,y) if every geodesic
from x to y passes through a point of P. If no pair (x,y) in M x M has a finite
blocking set, then (M,g) is said to be totally insecure. We prove that there
exist Riemannian metrics h on S^2 such that (S^2,h) is totally insecure. Moreover, the metrics in our construction are real analytic. This is joint work with with Lihuei Liu |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 02 / 27 / 2012 |
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| Time: | 03:35pm - 05:30pm |
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