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Complete submanifolds with parallel mean curvature in a sphere

Published online by Cambridge University Press:  18 May 2009

Theodoros Vlachos
Theodoros Vlachos
Affiliation:
Department of Mathematics, University of Ioannina, Ioannina 45110, Greece
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Let Mn be an n-dimensional manifold immersed in an (n+p)-dimensional unit sphere Sn+p, with mean curvature H and second fundamental form B. We put φ(X, Y) = B(X, Y)–(X, Y)H where X and Y are tangent vector fields on Mn. Assume that the mean curvature is parallel in the normal bundle of Mn in Sn+p. Following Alencar and do Carmo [1] we denote by BH the square of the positive root of

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 38 , Issue 3 , September 1996 , pp. 343 - 346
Copyright
Copyright © Glasgow Mathematical Journal Trust 1996

References

REFERENCES

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