L p,q -cohomology of warped cylinders
[Cohomologie L p,q des cylindres tordus]
Kopylov, Yaroslav
Annales mathématiques Blaise Pascal, Tome 16 (2009), p. 321-338 / Harvested from Numdam

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.

Publié le : 2009-01-01
DOI : https://doi.org/10.5802/ambp.270
Classification:  58A12,  46E30
Mots clés: Forme différentielle, cohomologie L p,q , torsion L p,q , cylindre tordu
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     author = {Kopylov, Yaroslav},
     title = {$L\_{p,q}$-cohomology of warped cylinders},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {16},
     year = {2009},
     pages = {321-338},
     doi = {10.5802/ambp.270},
     zbl = {1196.53025},
     mrnumber = {2568869},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AMBP_2009__16_2_321_0}
}
Kopylov, Yaroslav. $L_{p,q}$-cohomology of warped cylinders. Annales mathématiques Blaise Pascal, Tome 16 (2009) pp. 321-338. doi : 10.5802/ambp.270. http://gdmltest.u-ga.fr/item/AMBP_2009__16_2_321_0/

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