Some results in E. Cartan’s theory of isoparametric families of hypersurfaces
HTML articles powered by AMS MathViewer
- by Katsumi Nomizu PDF
- Bull. Amer. Math. Soc. 79 (1973), 1184-1188
References
- Élie Cartan, Familles de surfaces isoparamétriques dans les espaces à courbure constante, Ann. Mat. Pura Appl. 17 (1938), no. 1, 177–191 (French). MR 1553310, DOI 10.1007/BF02410700
- Elie Cartan, Sur des familles remarquables d’hypersurfaces isoparamétriques dans les espaces sphériques, Math. Z. 45 (1939), 335–367 (French). MR 169, DOI 10.1007/BF01580289 3. E. Cartan, Sur quelques familles remarquables d’hypersurfaces, C. R. Congrès Math. Liège, 1939, pp. 30-41.
- Elie Cartan, Sur des familles d’hypersurfaces isoparamétriques des espaces sphériques à 5 et à 9 dimensions, Univ. Nac. Tucumán. Revista A. 1 (1940), 5–22 (French). MR 0004519
- Richard S. Palais, A global formulation of the Lie theory of transformation groups, Mem. Amer. Math. Soc. 22 (1957), iii+123. MR 121424
- Ryoichi Takagi and Tsunero Takahashi, On the principal curvatures of homogeneous hypersurfaces in a sphere, Differential geometry (in honor of Kentaro Yano), Kinokuniya, Tokyo, 1972, pp. 469–481. MR 0334094
Additional Information
- Journal: Bull. Amer. Math. Soc. 79 (1973), 1184-1188
- MSC (1970): Primary 53C40; Secondary 57D55
- DOI: https://doi.org/10.1090/S0002-9904-1973-13371-3
- MathSciNet review: 0326625