Topology & Geometric Group Theory Seminar

Spring 2010

1:30 – 2:30, Malott 203

Tuesday, February 23

Kelly Delp, Buffalo State College

The marked length spectrum of a real projective manifold or orbifold

A strictly convex real projective orbifold is equipped with a natural Finsler metric called the Hilbert metric. In the case that the projective structure is hyperbolic, the Hilbert metric and the hyperbolic metric coincide. We prove that the marked Hilbert length spectrum determines the projective structure only up to projective duality. This result is essentially due to Inkang Kim, although a gap in his argument caused him to miss the issue concerning dual structures. A corollary is the existence of non-isometric diffeomorphic strictly convex projective manifolds (and orbifolds) that are isospectral. This is joint work with Daryl Cooper.

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