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Cartan models and cellular decompositions of symmetric Riemannian spaces
Authors:Hiroyuki Kadzisa  Mamoru Mimura
Institution:a Department of Mathematics, Tokyo Institute of Technology, Meguro, Tokyo 152-8551, Japan
b Department of Mathematics, Faculty of Sciences, Okayama University, Okayama 700-8530, Japan
Abstract:In this paper, by making use of the Cartan models, we will construct cellular decompositions of some symmetric Riemannian spaces such as Sp(n)/U(n), U(n)/O(n), U(2n)/Sp(n), O(2n)/U(n), SU(n)/SO(n), SU(2n)/Sp(n), SO(2n)/U(n).
Keywords:primary  57N60  secondary  53C35  53C42  57T15
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