An elementary proof of the Cheeger-Gromoll splitting theorem
- Cite this article as:
- Eschenburg, J. & Heintze, E. Ann Glob Anal Geom (1984) 2: 141. doi:10.1007/BF01876506
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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.