Kopylov: $L_{p,q}$-cohomology of warped cylinders

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Yaroslav Kopylov
$L_{p,q}$-cohomology of warped cylinders
(Cohomologie $L_{p,q}$ des cylindres tordus)
Annales mathématiques Blaise Pascal, 16 no. 2 (2009), p. 321-338, doi: 10.5802/ambp.270
Article PDF | Reviews MR 2568869 | Zbl 1196.53025
Class. Math.: 58A12, 46E30
Keywords: Differential form, $L_{p,q}$-cohomology, $L_{p,q}$-torsion, warped cylinder

Résumé - Abstract

We extend some results by Gol$^{\prime}$dshtein, Kuz$^{\prime}$minov, and Shvedov about the $L_p$-cohomology of warped cylinders to $L_{p,q}$-cohomology for $p\ne q$. As an application, we establish some sufficient conditions for the nontriviality of the $L_{p,q}$-torsion of a surface of revolution.

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