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arXiv · 1904.09914

The Sobolev--Poincar\'e Inequality and the $L_{q,p}$-Cohomology of Twisted Cylinders

Vladimir Gol'dshtein·Yaroslav Kopylov
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Abstract

We establish a vanishing result for the $L_{q,p}$-cohomology ($q\ge p$) of a twisted cylinder, which is a generalization of a warped cylinder. The result is new even for warped cylinders. We base on the methods for proving the $(p,q)$ Sobolev--Poincar\'e inequality developed by L.~Shartser.

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Vladimir Gol'dshtein, Yaroslav Kopylov. 2019-04-22. The Sobolev--Poincar\'e Inequality and the $L_{q,p}$-Cohomology of Twisted Cylinders. https://arxiv.org/abs/1904.09914

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