USA Topology Seminar
The extent to which length of closed geodesics determines a strictly convex projective structure
Kelly Delp, Buffalo State College
Friday, February 27, 2009
A convex real projective structure on a manifold gives a (non-Riemannian) metric, which in turn assigns a length to every element of the fundamental group. We show that two distinct structures assign the same length to every element if and only if the two structures are dual, and that a structure is self-dual if and only if it is a hyperbolic structure. This result was also (mostly) proved by Inkang Kim.