A class of totally geodesic foliations of Lie groups |
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Authors: | G Santhanam |
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Affiliation: | 1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005, Bombay, India
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Abstract: | This paper is devoted to classifying the foliations ofG with leaves of the formgKh ?1 whereG is a compact, connected and simply connected Lie group andK is a connected closed subgroup ofG such thatG/K is a rank-1 Riemannian symmetric space. In the case whenG/K=S n, the homotopy type of space of such foliations is also given. |
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