## 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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