J. Aust. Math. Soc.  81 (2006), 149-152
On a theorem of Ambrose

David J. Wraith
  Department of Mathematics
  National University of Ireland Maynooth

A Riccati inequality involving the Ricci curvature can be used to deduce many interesting results about the geometry and topology of manifolds. In this note we use it to present a short alternative proof to a theorem of Ambrose.
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