Geodesic
Semisimple Symmetric Spaces that do not Model any Compact Manifold
Yosuke Morita1
1Dept. of Mathematics, Graduate School of Science, Kyoto University, Kitashirakawa Oiwake-cho, Sakyo-ku, Kyoto 606-8502, Japan
Journal of Lie Theory, Tome 29 (2019) no. 2, pp. 493-510

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 57S30, 17B56, 22F30, 53C35, 57T15
Mots-clés : Manifold locally modelled on a homogeneous space, Clifford-Klein form, semisimple symmetric space

Yosuke Morita  1

1 Dept. of Mathematics, Graduate School of Science, Kyoto University, Kitashirakawa Oiwake-cho, Sakyo-ku, Kyoto 606-8502, Japan 
Yosuke Morita. Semisimple Symmetric Spaces that do not Model any Compact Manifold. Journal of Lie Theory, Tome 29 (2019) no. 2, pp. 493-510. http://geodesic.mathdoc.fr/item/JOLT_2019_29_2_a8/
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     author = {Yosuke Morita},
     title = {Semisimple {Symmetric} {Spaces} that do not {Model} any {Compact} {Manifold}},
     journal = {Journal of Lie Theory},
     pages = {493--510},
     year = {2019},
     volume = {29},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2019_29_2_a8/}
}
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