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Isoparametric functions and submanifolds

Published online by Cambridge University Press:  18 May 2009

S. M. B. Kashani
S. M. B. Kashani
Affiliation:
Mathematics DepartmentShirf University of TechnolohyP.O. Box 11365–9415Tehran, Iran
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The theory of isoparametric functions and a family of isoparametric hypersurfaces began essentially with E. Cartan in 1930's. He defined a real valued function V defined on a Riemannian space form to be isoparametric if ∥grad υ∥2=TV and ΔV = SV for some real valued functions S, T. Then a family of hypersurfaces Mt, is called isoparametric if Mt,=V-1 (t) where t is a regular value of V.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 35 , Issue 2 , May 1993 , pp. 145 - 152
Copyright
Copyright © Glasgow Mathematical Journal Trust 1993

References

REFERENCES

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