L p,q -cohomology of warped cylinders
[Cohomologie L p,q des cylindres tordus]
Annales mathématiques Blaise Pascal, Tome 16 (2009) no. 2, pp. 321-338.

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 pq. Comme application, on établit des conditions suffisantes pour la non-nullité de la torsion L p,q d’une surface de révolution.

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 pq. As an application, we establish some sufficient conditions for the nontriviality of the L p,q -torsion of a surface of revolution.

DOI : 10.5802/ambp.270
Classification : 58A12, 46E30
Keywords: Differential form, $L_{p,q}$-cohomology, $L_{p,q}$-torsion, warped cylinder
Mot clés : Forme différentielle, cohomologie $L_{p,q}$, torsion $L_{p,q}$, cylindre tordu
Kopylov, Yaroslav 1

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

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