J. Aust. Math. Soc.
81 (2006), 149152

On a theorem of Ambrose

David J. Wraith
Department of Mathematics
National University of Ireland Maynooth
Ireland
dwraith@maths.nuim.ie



Abstract

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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