Geodesic
Isoparametric functions and submanifolds
Glasgow mathematical journal, Tome 35 (1993) no. 2, pp. 145-152

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Kashani, S. M. B. Isoparametric functions and submanifolds. Glasgow mathematical journal, Tome 35 (1993) no. 2, pp. 145-152. doi: 10.1017/S0017089500009691
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[1] 1.Carter, S. and West, A., Isoparametric systems and transnormality. Proc. London Math. Soc. (3), 51 (1985), 520–542. Google Scholar | DOI

[2] 2.Hahn, J., Isoparametric hypersurfaces in the pseudo Riemannian space forms. Math. Z. 187 (1984), 195–208. Google Scholar | DOI

[3] 3.Kashani, S. M. B., Isoparametric submanifolds in pseudo Riemannian spaces. Thesis, Leeds University, 1988. Google Scholar

[4] 4.Nomizu, K., Elie Cartan's work on isoparametric families of hypersurfaces, Proc. of Symposia in Pure Math. (AMS) 27 (1975), 191–200. Google Scholar | DOI

[5] 5.Terng, C. L., Isoparametric submanifolds and their Coxeter groups. J. Diff. Geom. 21 (1985), 79–107. Google Scholar

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