Geometry and topology of isoparametric submanifolds in euclidean spaces
- 1 August 1985
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 82 (15) , 4863-4865
- https://doi.org/10.1073/pnas.82.15.4863
Abstract
Restrictions are given on the possible marked Dynkin diagrams of isoparametric submanifolds, and their homology and cohomology are computed by an extension of the techniques used by Bott and Samelson [Bott, R. & Samelson, H. (1958) Am. J. Math. 80, 964-1029] and by Borel [Borel, A. (1953) Ann. Math. 57 (2), 115-207] for G/T.Keywords
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