## Illinois Journal of Mathematics

### The curvature operator at the soul

#### Abstract

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

#### Article information

Source
Illinois J. Math., Volume 56, Number 2 (2012), 301-306.

Dates
First available in Project Euclid: 22 November 2013

https://projecteuclid.org/euclid.ijm/1385129949

Digital Object Identifier
doi:10.1215/ijm/1385129949

Mathematical Reviews number (MathSciNet)
MR3161325

Zentralblatt MATH identifier
1287.53028

#### Citation

Guijarro, Luis; Walschap, Gerard. The curvature operator at the soul. Illinois J. Math. 56 (2012), no. 2, 301--306. doi:10.1215/ijm/1385129949. https://projecteuclid.org/euclid.ijm/1385129949

#### References

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