Event № 550
Event № 550
Type: Colloquium
Name: Colloquium
Title: Connected sums of manifolds of positive scalar curvature
Speaker: Jozef Dodzuik (CUNY)
Place:
Amado 232, Technion
Abstract:
We revisit the old construction of Gromov and Lawson that yields a Riemannian metric of positivescalar curvature on a connected sum of manifolds admitting such metrics. This is joint workwith C. Sormani and J. Basilio. Our refinement is to show that the "tunnel" constructed betweenthe two summands can be made to have arbitrarily small length and volume. We use this tocreate examples of sequences of compact manifolds with positive scalar curvature whose Gromov-Hausdorff limits do not have positive scalar curvature in a certain generalized sense.
SubmittedBy:
Seminar/Colloquium Moderator
EventLink: Event № 550