Isoparametric Submanifolds
Mostrando 1-2 de 2 artigos, teses e dissertações.
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1. Subvariedades isoparamétricas do espaço Euclidiano / Isoparametric submanifolds of Euclidian space
The goal of this dissertation is to present an introduction to the study of isoparametric submanifolds of Euclidean space. We begin with an introduction to the history of the subject. Then we present the basic results of submanifold theory of space forms. We compute the fundamental equations of first and second order, and we prove the fundamental theorem of
Publicado em: 2008
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2. 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.