Reduced \(L_ p\)-cohomology of warped cylinders
The paper is devoted to the study of the properties of the de Rham \(L_ p\)-cohomology of a cylinder \(C^ f_{a,b}X=[a,b)\times X\) endowed with a Riemannian metric of a warped product \((ds)^ 2=(dt)^ 2+f^ 2(t)(dg)^ 2\) where X is a smooth n-dimensional Riemannian manifold with a Riemannian metric \((dg)^ 2\) and \(f: [a,b)\to {\mathbb{R}}_+\) is a continuous function. Several results including the exactness of certain cohomology sequences are proved and some concrete computations are given.
scientific article; zbMATH DE number 4190613