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Cliffordalgebren und neue isoparametrische Hyperflächen. (English) Zbl 0443.53037

MSC:
53C40 Global submanifolds
15A66 Clifford algebras, spinors
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References:
[1] Cartan, E.: Sur des familles remarquables d’hypersurfaces isoparamétriques dans les espaces sphériques. Math. Z.45, 335-367 (1939) · Zbl 0021.15603
[2] Hsiang, W.Y., Lawson, H.B.: Minimal submanifolds of low cohomogeneneity. J. Differential Geometry5, 1-38 (1971) · Zbl 0219.53045
[3] Husemoller, D.: Fibre Bundles. New York-San Francisco-London: McGraw Hill 1966 · Zbl 0144.44804
[4] Münzner, H.F.: Isoparametrische Hyperflächen in Sphären I. Math. Ann.251, 57-71 (1980) · Zbl 0432.53033
[5] Ozeki, H., Takeuchi, M.: On some types of isoparametric hypersurfaces in spheres I. Tôhoku Math. J.27, 515-559 (1975) · Zbl 0359.53011
[6] Takagi, R., Takahashi, T.: On the principal curvatures of homogeneous hypersurfaces in a sphere. In: Differential Geometry, in honor of K. Yano. (Kobayashi, S., Obata, M. and Takahashi, V. eds.), pp. 469-481. Tokyo, Kinokuniya 1972 · Zbl 0244.53042
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