Publications
2007
Issue 96

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server end of 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 $ϕ^{k}$ , $k \geq 3$ , on a m-dimensional manifold $M^{m}$ , $m \geq k$ , 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 $U^{d (m, k)}$ .

Contact the author per mail Download full preprint 197 KB

Received:: 02.11.07

Published:: 02.11.07

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

BibTex ArXiv: 0805.0345 Link: www.emis.ams.org