Annals of Global Analysis and Geometry

, Volume 2, Issue 2, pp 141–151

An elementary proof of the Cheeger-Gromoll splitting theorem

  • Jost Eschenburg
  • Ernst Heintze
Article

DOI: 10.1007/BF01876506

Cite this article as:
Eschenburg, J. & Heintze, E. Ann Glob Anal Geom (1984) 2: 141. doi:10.1007/BF01876506
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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.

Copyright information

© Kluwer Academic Publishers 1984

Authors and Affiliations

  • Jost Eschenburg
    • 1
  • Ernst Heintze
    • 1
  1. 1.Mathematisches Institut der WWUMünsterFed. Rep. of Germany