Semisimple Symmetric Spaces that do not Model any Compact Manifold
Journal of Lie theory, Tome 29 (2019) no. 2, pp. 493-51
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

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
@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/}
}
TY  - JOUR
AU  - Y. Morita
TI  - Semisimple Symmetric Spaces that do not Model any Compact Manifold
JO  - Journal of Lie theory
PY  - 2019
SP  - 493
EP  - 51
VL  - 29
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JLT_2019_29_2_JLT_2019_29_2_a8/
ID  - JLT_2019_29_2_JLT_2019_29_2_a8
ER  - 
%0 Journal Article
%A Y. Morita
%T Semisimple Symmetric Spaces that do not Model any Compact Manifold
%J Journal of Lie theory
%D 2019
%P 493-51
%V 29
%N 2
%U http://geodesic.mathdoc.fr/item/JLT_2019_29_2_JLT_2019_29_2_a8/
%F 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/