Rigidity for Nonnegatively Curved Metrics on S^2xR^3
Differential Geometry
2007-05-23 v1
Abstract
We address the question: how large is the family of complete metrics with nonnegative sectional curvature on S^2xR^3? We classify the connection metrics, and give several examples of non-connection metrics. We provide evidence that the family is small by proving some rigidity results for metrics more general than connection metrics.
Cite
@article{arxiv.math/0210157,
title = {Rigidity for Nonnegatively Curved Metrics on S^2xR^3},
author = {Kristopher Tapp},
journal= {arXiv preprint arXiv:math/0210157},
year = {2007}
}