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Complete hypersurface of non-positive Ricci curvature

Published online by Cambridge University Press:  17 April 2009

Pui-Fai Leung
Pui-Fai Leung
Affiliation:
Department of Mathematics, National University of Singapore, Kent Ridge, Singapore0511.
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Abstract

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We conjecture that a complete hypersurface of non-positive Ricci curvature in the Euclidean space must be unbounded. We prove this under the additional assumption that all sectional curvatures of the hypersurface are bounded away from negative infinity.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 27 , Issue 2 , April 1983 , pp. 215 - 219
Copyright
Copyright © Australian Mathematical Society 1983

References

[1]Omori, Hideki, “Isometric immersions of Riemannian manifolds”, J. Math. Soc. Japan 19 (1967), 205–214.Google Scholar
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