English

The curvature operator at the soul

Differential Geometry 2011-08-18 v1

Abstract

We prove two splitting theorems, one topological, the other metric, for open manifolds with nonnegative sectional curvature.

Cite

@article{arxiv.1108.3448,
  title  = {The curvature operator at the soul},
  author = {Luis Guijarro and Gerard Walschap},
  journal= {arXiv preprint arXiv:1108.3448},
  year   = {2011}
}

Comments

To appear at Illinois Journal of Mathematics

R2 v1 2026-06-21T18:51:37.843Z