The curvature operator at the soul

Luis Guijarro; Gerard Walschap

doi:10.1215/ijm/1385129949

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Home > Journals > Illinois J. Math. > Volume 56 > Issue 2 > Article

Summer 2012 The curvature operator at the soul

Luis Guijarro, Gerard Walschap

Illinois J. Math. 56(2): 301-306 (Summer 2012). DOI: 10.1215/ijm/1385129949

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Abstract

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

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Luis Guijarro. Gerard Walschap. "The curvature operator at the soul." Illinois J. Math. 56 (2) 301 - 306, Summer 2012. https://doi.org/10.1215/ijm/1385129949