Illinois Journal of Mathematics

The curvature operator at the soul

Luis Guijarro and Gerard Walschap

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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

Permanent link to this document
https://projecteuclid.org/euclid.ijm/1385129949

Digital Object Identifier
doi:10.1215/ijm/1385129949

Mathematical Reviews number (MathSciNet)
MR3161325

Zentralblatt MATH identifier
1287.53028

Subjects
Primary: 53C20: Global Riemannian geometry, including pinching [See also 31C12, 58B20]

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


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References

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Duke University Press

Illinois Journal of Mathematics

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