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Quartic isoparametric hypersurfaces and quadratic forms

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References

  1. Baird, P.: Harmonic maps with symmetry, harmonic morphisms and deformations of metrics. (Res. Notes Math., vol. 87) London: Pitman 1983

    Google Scholar 

  2. Berger, M., Gauduchon, P., Mazet, E.: spectre d'une variété Riemannienne. (Lect. Notes Math., vol. 194) Berlin Heidelberg New York: Springer 1971

    Google Scholar 

  3. Bröcker, T., tomDieck, T.: Representations of compact Lie groups. (Grad. Texts Math., vol. 98) Berlin Heidelberg New York: Springer 1985

    Google Scholar 

  4. Cahn, R.: Semi-simple Lie algebras and their representations. (Front. Phys., vol. 59) Reading, MA: Benjamin-Cummings 1984

    Google Scholar 

  5. Cecil, T.E., Ryan, P.J.: Tight and taut immersions of manifolds. (Res. Notes Math., vol. 107) London: Pitman 1985

    Google Scholar 

  6. Federer, H.: Geometric measure theory. Berlin Heidelberg New York: Springer 1969

    Google Scholar 

  7. Ferus, D., Karcher, H., Münzner, H.: Cliffordalgebren und neue isoparametrische Hyperflachen, Math. Z.177, 479–502 (1981)

    Google Scholar 

  8. Hsiang, W.-Y., Lawson, H.B.: Minimal submanifolds of low cohomogeneity. J. Differ. Geom.5, 1–38 (1971)

    Google Scholar 

  9. Münzner, H.: Isoparametrische Hyperflächen in Sphären, I. Math. Ann.251, 57–71 (1980)

    Google Scholar 

  10. Münzner, H.: Isoparametrische Hyperflächen in Sphären, II. Math. Ann.256, 215–232 (1981)

    Google Scholar 

  11. Palais, R.S., Terng, C.-L.: Critical point theory and submanifold geometry. (Lect. Notes Math., vol. 1353) Berlin Heidelberg New York: Springer 1988

    Google Scholar 

  12. Takagi, R., Takahashi, T.: On the principal curvatures of homogeneous hypersurfaces in a sphere. In: Kobayashi, S. et al. (eds.) Differential Geometry, in honor of K. Yano, pp. 469–481. Tokyo: Kinokuniya, 1972

    Google Scholar 

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Solomon, B. Quartic isoparametric hypersurfaces and quadratic forms. Math. Ann. 293, 387–398 (1992). https://doi.org/10.1007/BF01444723

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  • DOI: https://doi.org/10.1007/BF01444723

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