Semisimple Symmetric Spaces that do not Model any Compact Manifold
Journal of Lie theory, Tome 29 (2019) no. 2, pp. 493-51
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
Mots-clés : Manifold locally modelled on a homogeneous space, Clifford-Klein form, semisimple symmetric space
@article{JLT_2019_29_2_JLT_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--51},
year = {2019},
volume = {29},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JLT_2019_29_2_JLT_2019_29_2_a8/}
}
Y. Morita. Semisimple Symmetric Spaces that do not Model any Compact Manifold. Journal of Lie theory, Tome 29 (2019) no. 2, pp. 493-51. http://geodesic.mathdoc.fr/item/JLT_2019_29_2_JLT_2019_29_2_a8/