Abstract
We give a short proof of the Cheeger-Gromoll Splitting Theorem which says that a line in a complete manifold of nonnegative Ricci curvature splits off isometrically. Our proof avoids the existence and regularity theory of elliptic PDE's.
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Communicated by E. Ruh. July 11, 1983
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Eschenburg, J., Heintze, E. An elementary proof of the Cheeger-Gromoll splitting theorem. Ann Glob Anal Geom 2, 141–151 (1984). https://doi.org/10.1007/BF01876506
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DOI: https://doi.org/10.1007/BF01876506