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A class of totally geodesic foliations of Lie groups
Authors:G Santhanam
Affiliation:1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005, Bombay, India
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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