CUNY Graduate Center Differential Geometry Seminar presents

Conditions for nonnegative curvature on bundles

Kris Tapp

S.U.N.Y. at Stony Brook

Wednesday, September 5

2:45-3:45 pm, Room 4422

In this talk, I will discuss relationships between the following two questions: (1) Which vector bundles admit metrics of nonnegative sectional curvature? (2) Which sphere bundles admit metrics of nonnegative (or positive) sectional curvature? I will outline a strategy for translating these into a question of whether the vector bundle admits structures satisfying a certain fundamental inequality at it's zero-section. I will also discuss the classificatin of nonnegatively curved metrics on S^2xR^2.

ktapp@math.sunysb.edu