Reduced \(L_ p\)-cohomology of warped cylinders
type: Item
instance of: scholarly article
title: Reduced \(L_ p\)-cohomology of warped cylinders
zbMATH Open document ID: 0722.53034
DOI: 10.1007/BF00974484
author: V. M. Gol'dshtejn
author: V. I. Kuz'minov
author: I. A. Shvedov
published in: Siberian Mathematical Journal
publication date: 1990-01-01T00:00:00Z
review text: 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.
reviewed by: Wojciech Kryszewski
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 58A12
zbMATH DE Number: 4190613
zbMATH Keywords: de Rham cohomology
zbMATH Keywords: exactness of cohomology sequences
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: cylinder
zbMATH Keywords: warped product
MaRDI profile type: Publication
cites work: L 2 Harmonic Forms on Rotationally Symmetric Riemannian Manifolds
cites work: Q5604049
full work available at URL: https://doi.org/10.1007/bf00974484
OpenAlex ID: W1999866451
description: scientific article; zbMATH DE number 4190613