
Title: The space of pinched negatively curved metrics with finite volume and identical ends
Speaker: Mauricio Bustamante (Binghamton University)
Abstract: In this talk I will show that the space of complete, pinched negatively curved Riemannian metrics with finite volume on a smooth manifold, is either empty or non-connected, provided one has control at infinity and the dimension of the manifold is large. Time permitting, I will discuss the related problem of endowing a smooth fiber bundle with extra geometric structure.
Seminar URL: https://research.math.osu.edu/topology/#6433560