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A note on complete hypersurfaces of non-positive Ricci curvature

Published online by Cambridge University Press:  17 April 2009

G.H. Smith
G.H. Smith
Affiliation:
School of Mathematical Sciences, New South Wales Institute of Technology, PO Box 123, Broadway, New South Wales 2007, Australia.
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Abstract

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In this note we point out that a recent result of Leung concerning hypersurfaces of a Euclidean space has a simple generalisation to hypersurfaces of complete simply-connected Riemannian manifolds of non-positive constant sectional curvature.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 28 , Issue 3 , December 1983 , pp. 339 - 342
Copyright
Copyright © Australian Mathematical Society 1983

References

[1]Leung, Pui-Fai, “Complete hypersurface of non-positive Ricci curvature”, Bull. Austral. Math. Soc. 27 (1983), 215–219.CrossRefGoogle Scholar