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A characterisation of compact minimal hypersurfaces in a unit sphere

Published online by Cambridge University Press:  17 April 2009

Qing-Ming Cheng
Qing-Ming Cheng
Affiliation:
Institute of Mathematics Fudan University, Shanghai 200433, Peoples Republic of China
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Abstract

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In this note, we show that the totally geodesic sphere, Clifford torus and Cartan hypersurface are the only compact minimal hypersurfaces in S4(1) with constant scalar curvature if the Ricci curvature is not less than −1.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 47 , Issue 2 , April 1993 , pp. 213 - 216
Copyright
Copyright © Australian Mathematical Society 1993

References

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