Voir la notice de l'article provenant de la source Numdam
Using results by D. Witte [35] on the superigidity of lattices in solvable Lie groups we get a new proof of a recent remarkable result obtained by D. Guan [15] on the de Rham cohomology of a compact solvmanifold, i.e., of a quotient of a connected and simply connected solvable Lie group by a lattice . This result can be applied to compute the Betti numbers of a compact solvmanifold even in the case that the solvable Lie group and the lattice do not satisfy the Mostow condition.
Console, Sergio 1 ; Fino, Anna 1
@article{ASNSP_2011_5_10_4_801_0,
author = {Console, Sergio and Fino, Anna},
title = {On the de {Rham} cohomology of solvmanifolds},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {801--818},
publisher = {Scuola Normale Superiore, Pisa},
volume = {Ser. 5, 10},
number = {4},
year = {2011},
mrnumber = {2932894},
zbl = {1242.53055},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ASNSP_2011_5_10_4_801_0/}
}
TY - JOUR AU - Console, Sergio AU - Fino, Anna TI - On the de Rham cohomology of solvmanifolds JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2011 SP - 801 EP - 818 VL - 10 IS - 4 PB - Scuola Normale Superiore, Pisa UR - http://geodesic.mathdoc.fr/item/ASNSP_2011_5_10_4_801_0/ LA - en ID - ASNSP_2011_5_10_4_801_0 ER -
%0 Journal Article %A Console, Sergio %A Fino, Anna %T On the de Rham cohomology of solvmanifolds %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2011 %P 801-818 %V 10 %N 4 %I Scuola Normale Superiore, Pisa %U http://geodesic.mathdoc.fr/item/ASNSP_2011_5_10_4_801_0/ %G en %F ASNSP_2011_5_10_4_801_0
Console, Sergio; Fino, Anna. On the de Rham cohomology of solvmanifolds. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 10 (2011) no. 4, pp. 801-818. http://geodesic.mathdoc.fr/item/ASNSP_2011_5_10_4_801_0/