Algebraic properties of infinite-dimensional differential forms of finite codegree.
type: Item
instance of: scholarly article
title: Algebraic properties of infinite-dimensional differential forms of finite codegree.
zbMATH Open document ID: 1048.58001
author: Heinrich von Weizsäcker
author: O. G. Smolyanov
author: Rémi Léandre
published in: Doklady Mathematics
publication date: 2004-06-15T00:00:00Z
review text: This paper is concerned with the algebraic aspects of the theory of integration over submanifolds of (infinite-dimensional) locally convex spaces or manifolds of finite codimension determined by such submanifolds. The authors derive some identities for differential forms of finite codegree and (classical) differential forms of finite degree. In both cases, the theory of integration should contain objects that can be integrated (namely differential forms), domains of integrations and some measures and/or functions related to these domains. There is a natural duality between construction related to differential forms of finite degree and those related to differential forms of finite codegree.
Mathematics Subject Classification ID: 58A10
Mathematics Subject Classification ID: 58B99
Mathematics Subject Classification ID: 58C35
Mathematics Subject Classification ID: 46A03
zbMATH DE Number: 2074471
zbMATH Keywords: differential forms of finite codegree
zbMATH Keywords: finite degree
reviewed by: Marian Ioan Munteanu
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2074471