no. 2
L p,q -cohomology of warped cylinders
[Cohomologie L p,q des cylindres tordus]
Yaroslav Kopylov1
1 Sobolev Institute of Mathematics Pr. Akademika Koptyuga 4 630090, Novosibirsk RUSSIA
Annales mathématiques Blaise Pascal, Tome 16 (2009) no. 2, pp. 321-338

We extend some results by Gol ′ dshtein, Kuz ′ minov, and Shvedov about the L p -cohomology of warped cylinders to L p,q -cohomology for p≠q. As an application, we establish some sufficient conditions for the nontriviality of the L p,q -torsion of a surface of revolution.

On généralise quelques résultats par Gol ′ dshtein, Kuz ′ minov et Shvedov sur la cohomologie L p des cylindres tordus à cohomologie L p,q pour p≠q. Comme application, on établit des conditions suffisantes pour la non-nullité de la torsion L p,q d’une surface de révolution.

DOI : 10.5802/ambp.270
Classification : 58A12, 46E30
Keywords: Differential form, $L_{p,q}$-cohomology, $L_{p,q}$-torsion, warped cylinder
Mots-clés : Forme différentielle, cohomologie $L_{p,q}$, torsion $L_{p,q}$, cylindre tordu

Yaroslav Kopylov 1

1 Sobolev Institute of Mathematics Pr. Akademika Koptyuga 4 630090, Novosibirsk RUSSIA 
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Yaroslav Kopylov. $L_{p,q}$-cohomology of warped cylinders. Annales mathématiques Blaise Pascal, Tome 16 (2009) no. 2, pp. 321-338. doi: 10.5802/ambp.270

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