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1. Semisimple symmetric spaces without compact manifolds locally modelled thereon.

Author

Yosuke MORITA

Subjects
*MANIFOLDS (Mathematics), *SYMMETRIC spaces, *LIE groups, *HOMOMORPHISMS, *INJECTIVE functions
Abstract

Let G be a real reductive Lie group and H a closed subgroup of G which is reductive in G. In our earlier work it was shown that, if the homomorphism i : H·(gC; hC;C) → H·(gC; (kH)C;C) is not injective, there does not exist a compact manifold locally modelled on G/H. In this paper, we give a classification of the semisimple symmetric spaces G/H for which i is not injective. We also study the case when G cannot be realised as a linear group. [ABSTRACT FROM AUTHOR]

Published
2015
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