Cartan models and cellular decompositions of symmetric Riemannian spaces |
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Authors: | Hiroyuki Kadzisa Mamoru Mimura |
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Affiliation: | 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 |
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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). |
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Keywords: | primary, 57N60 secondary, 53C35, 53C42, 57T15 |
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