English

Nonnegatively curved metrics on S^2xR^2

Differential Geometry 2007-05-23 v1

Abstract

We classify the complete metrics of nonnegative sectional curvature on M^2xR^2, where M^2 is any compact 2-manifold.

Keywords

Cite

@article{arxiv.math/0210159,
  title  = {Nonnegatively curved metrics on S^2xR^2},
  author = {Detlef Gromoll and Kristopher Tapp},
  journal= {arXiv preprint arXiv:math/0210159},
  year   = {2007}
}
R2 v1 2026-07-22T16:48:19.425Z