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.

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 G by a lattice Γ. This result can be applied to compute the Betti numbers of a compact solvmanifold G/Γ even in the case that the solvable Lie group G and the lattice Γ do not satisfy the Mostow condition.

Publié le :
Classification : 53C30, 22E25, 22E40
Console, Sergio 1 ; Fino, Anna 1

1 Dipartimento di Matematica G. Peano Università di Torino Via Carlo Alberto, 10 10123 Torino, Italia
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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://www.numdam.org/item/ASNSP_2011_5_10_4_801_0/

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