Partial marked length spectrum rigidity for negatively curved surfaces

Geometry & Topology
Event time: 
Tuesday, September 17, 2019 - 4:15pm
DL 431
Noelle Sawyer
Speaker affiliation: 
Event description: 

The marked length spectrum of a metric on a compact Riemannian manifold records the length of the shortest closed curve in each free homotopy class. It is known that a negatively curved metric on a compact Riemannian manifold is uniquely determined by its marked length spectrum up to isometry. My preliminary results show that under certain conditions on the excluded homotopy classes, a partial marked length spectrum also uniquely determines the metric.