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

Hong-Van Le

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

Algebraic Topology 2008-05-06 v1 Differential Geometry

Authors: Hong-Van Le

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 $U^{d(m,k)}$ .

Keywords

universal spaces closed integral k-form manifolds embedding universal manifold

Cite

@article{arxiv.0805.0345,
  title  = {Universal spaces for manifolds equipped with a closed integral k-form},
  author = {Hong-Van Le},
  journal= {arXiv preprint arXiv:0805.0345},
  year   = {2008}
}

Comments

17 pages, extended version of the second part of previously submitted note math.DG/0603182, containing an appendix written in communication with Kaoru Ono

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

Abstract

Keywords

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