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. M...

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Veröffentlicht in:Proceedings of the National Academy of Sciences - PNAS 1985-08, Vol.82 (15), p.4863-4865
Hauptverfasser: Hsiang, W. Y., Palais, R. S., Terng, C. L.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0027-8424
1091-6490
DOI:10.1073/pnas.82.15.4863