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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