Geometry and topology of isoparametric submanifolds in euclidean spaces.
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.
Department of Mathematics, University of California, Berkeley, CA 94720.
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