On complete metrics of nonnegative curvature on 2-plane bundles
On complete metrics of nonnegative curvature on 2-plane bundles
This paper is an attempt to understand the 2-plane bundle case for the converse of the soul theorem due to J. Cheeger and D Gromoll.It is shown that there is a class of 2-plane bundles over certain 5 2 -bundles that carry complete metrics of nonnegative sectional curvature.In particular, every …