Conditions for nonnegative curvature on bundles
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