Seminars & Colloquia Calendar
Comparison results for complete noncompact three-dimensional manifolds
Ovidiu Munteanu, University of Connecticut
Date & time: Friday, 15 April 2022 at 3:30PM - 4:30PM
Abstract: Typical comparison results in Riemannian geometry, such as for volume or for spectrum of the Laplacian, require Ricci curvature lower bounds. In dimension three, we can prove some related sharp comparison estimates assuming only a scalar curvature bound. The talk will present these results, their applications, and explain how dimension three is used in the proofs.