Reduced L q,p -Cohomology of Some Twisted Products
Annales Mathématiques Blaise Pascal, Volume 23 (2016) no. 2, pp. 151-169.

Vanishing results for reduced L q,p -cohomology are established in the case of twisted products, which are a generalization of warped products. Only the case qp is considered. This is an extension of some results by Gol ' dshtein, Kuz ' minov and Shvedov about the L p -cohomology of warped cylinders. One of the main observations is the vanishing of the “middle-dimensional” cohomology for a large class of manifolds.

On établit des résultats d’annulation de la cohomologie L q,p réduite pour les produits twistés, une généralisation des produits tordus dans le cas de qp. Le résultats obtenus sont des généralisations de certains résultats par Gol ' dshtein, Kuz ' minov et Shvedov sur la cohomologie L p des cylindres tordus. Une des observations principales est la trivialité de la cohomolgie en dimension “moyenne” pour une large classe de variétés.

DOI: 10.5802/ambp.359
Classification: 58A10,  58A12
Keywords: differential form, reduced L q,p -cohomology, twisted cylinder
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Vladimir Golʼdshtein; Yaroslav Kopylov. Reduced $L_{q,p}$-Cohomology of Some Twisted Products. Annales Mathématiques Blaise Pascal, Volume 23 (2016) no. 2, pp. 151-169. doi : 10.5802/ambp.359. https://ambp.centre-mersenne.org/articles/10.5802/ambp.359/

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