The Sobolev--Poincaré Inequality and the $L_{q,p}$-Cohomology of Twisted Cylinders

Vladimir Gol'dshtein, Yaroslav Kopylov

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 cyl…