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MaPhySto
The Danish National Research Foundation:
Network in Mathematical Physics and Stochastics



Funded by The Danish National Research Foundation
Geometric Mathematical Physics Seminar
Wednesday, 19 November 2003, at 16:15 in Aud D3
Burkhard Wilking
Spherical rank rigidity

Abstract
A Riemannian manifold with upper curvature bound 1 is said to have positive spherical rank if any geodesic $c$ has a conjugate point at $pi$. It is easy to see that this notion is analogous to the notions of Euclidean and hyperbolic rank for manifolds with upper curvature bound 0 and -1, respectively. In a joint work with Krishnan Shankar and Ralf Spatzier we prove that a manifold with positive spherical rank is locally symmetric.

Contact person:Jørgen Ellegaard Andersen.