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Journal of Lie Theory 29 (2019), No. 2, 493--510
Copyright Heldermann Verlag 2019

Semisimple Symmetric Spaces that do not Model any Compact Manifold

Yosuke Morita
Dept. of Mathematics, Graduate School of Science, Kyoto University, Kitashirakawa Oiwake-cho, Sakyo-ku, Kyoto 606-8502, Japan

In a previous paper [Homogeneous spaces of nonreductive type that do not model any compact manifold, Publ. Res. Inst. Math. Sci. 53 (2017) 287--298], we obtained a cohomological obstruction to the existence of compact manifolds locally modelled on a homogeneous space. In this paper, we give a classification of the semisimple symmetric spaces to which this obstruction is applicable.

Keywords: Manifold locally modelled on a homogeneous space, Clifford-Klein form, semisimple symmetric space.

MSC: 57S30, 17B56, 22F30, 53C35, 57T15.

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