Geometric Analysis and Topology Seminar

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Hyperbolic Rank Rigidity for Strict Quarter-Pinching Negatively Curved Manifold

Speaker: Thang Nguyen, NYU

Location: Warren Weaver Hall 1314

Date: Wednesday, April 19, 2017, 11 a.m.

Synopsis:

A manifold is said to have higher hyperbolic rank if along every geodesic we can find a parallel vector field making curvature -1 with the geodesic. Examples of manifolds with higher hyperbolic rank are locally symmetric rank one manifolds. In this talk, I will present a rigidity statement: a compact higher hyperbolic rank manifold of curvature between [-1, -1/4) is locally symmetric. This is a joint work with C. Connell and R. Spatzier.