Open AccessGeometry and topology of isoparametric submanifolds in euclidean spaces
Author(s) -
W. Y. Hsiang,
Richard S. Palais,
Chuu-Lian Terng
Publication year - 1985
Publication title -
proceedings of the national academy of sciences
Language(s) - English
Resource type - Journals
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.82.15.4863
Subject(s) - mathematics , cohomology , euclidean geometry , homology (biology) , pure mathematics , extension (predicate logic) , topology (electrical circuits) , geometry , combinatorics , computer science , biology , gene , programming language , biochemistry
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.
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