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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
96/2007

Universal spaces for manifolds equipped with a closed integral k-form

Hông Vân Lê

Abstract

In this note we prove that any integral closed k-form $\phi ^k$, $k\ge 3$, on a m-dimensional manifold $M^m$, $m \ge k$, is the restriction of a universal closed k-form $h^k$ on a universal manifold $U^{d(m,k)}$ as a result of an embedding of $M^m$ to $U^{d(m,k)}$.

Received:
Nov 2, 2007
Published:
Nov 2, 2007
MSC Codes:
53C10, 53C42
Keywords:
closed k-form, universal space, H-principle

Related publications

inJournal
2007 Journal Open Access
Hông Vân Lê

Universal spaces for manifolds equipped with a closed integral k-form

In: Archivum mathematicum, 43 (2007) 5, pp. 443-457