Journal of Lie Theory

no. 2
Semisimple Symmetric Spaces that do not Model any Compact Manifold
Journal of Lie Theory, Volume 29 (2019) no. 2, pp. 493-510
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.
DOI: 10.5802/jolt.1068
Classification: 57S30, 17B56, 22F30, 53C35, 57T15
Keywords: Manifold locally modelled on a homogeneous space, Clifford-Klein form, semisimple symmetric space 
@article{JOLT_2019_29_2_a8,
     author = {Y. 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},
     doi = {10.5802/jolt.1068},
     zbl = {1425.57017},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1068/}
}
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Y. Morita. Semisimple Symmetric Spaces that do not Model any Compact Manifold. Journal of Lie Theory, Volume 29 (2019) no. 2, pp. 493-510. doi: 10.5802/jolt.1068

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