J. Aust. Math. Soc.
81 (2006), 149-152
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On a theorem of Ambrose
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David J. Wraith
Department of Mathematics
National University of Ireland Maynooth
Ireland
dwraith@maths.nuim.ie
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Abstract
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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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Australian Mathematical Publishing Association Inc.
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©
Australian MS
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