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Isoparametrische Hyperflächen in Sphären. I. (German) Zbl 0417.53030

MSC:
53C40 Global submanifolds
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References:
[1] Cartan, E.: Familles de surfaces isoparam?triques dans les espaces ? courbure constante. Ann. Mat. Pura Appl.17, 177-191 (1938) · Zbl 0020.06505
[2] Cartan, E.: Sur des familles remarquables d’hypersurfaces isoparam?triques dans les espaces spheriques. Math. Z.45, 335-367 (1939) · Zbl 0021.15603
[3] Cartan, E.: Sur quelques familles remarquables d’hypersurfaces. C.P. Congr?s Math. Li?ge, pp. 30-41 (1939)
[4] Cartan, E.: Sur des familles remarquables d’hypersurfaces isoparam?triques des espaces sph?riques ?r et 9 dimensions. Rev. Unib. Tucoman AI, 5-22 (1940) · Zbl 0025.22603
[5] Husemoller, D.: Fibre bundles. New York: McGraw-Hill 1966 · Zbl 0144.44804
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[9] Levi-Civita, T.: Famiglie di superficie isoparametriche nell’ordinario spacio euclideo. Atti Accad. naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur26, 355-362 (1937) · Zbl 0018.08702
[10] Nomizu, K.: Some results in E. Cartan’s theory of isoparametric families of hypersurfaces. Bull. Amer. Math. Soc.79, 1184-1188 (1974) · Zbl 0275.53003
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[12] Spanier, E.H.: Algebraic topology. New York: McGraw-Hill 1966 · Zbl 0145.43303
[13] Segre, B.: Famiglie di ipersuperficie isoparametrische negli spazi euclidei ad un qualunque numero di demensioni. Atti Accad. naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur27, 203-207 (1938) · Zbl 0019.18403
[14] Takagi, R., Takahashi, T.: On the principal curvatures of homogeneous hypersurfaces in a sphere. Differential geometry, in honor of K. Yano, pp. 469-481, Tokyo: Kinokuniya 1972 · Zbl 0244.53042
[15] Wang, H.C.: Compact transformation group ofS n with an (n-1)-dimensional orbit. Amer. J. Math.82, 698-748 (1960) · Zbl 0134.19404
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