Universal spaces for manifolds equipped with an integral closed $k$-form

Hông-Vân Lê. "Universal spaces for manifolds equipped with an integral closed $k$-form." Archivum Mathematicum 043.5 (2007): 443-457. <http://eudml.org/doc/250182>.

@article{Hông2007,
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 $U^\{d(m,k)\}$.},
author = {Hông-Vân Lê},
journal = {Archivum Mathematicum},
keywords = {closed $k$-form; universal space; $H$-principle; closed -form; universal space; -principle},
language = {eng},
number = {5},
pages = {443-457},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Universal spaces for manifolds equipped with an integral closed $k$-form},
url = {http://eudml.org/doc/250182},
volume = {043},
year = {2007},
}

TY - JOUR
AU - Hông-Vân Lê
TI - Universal spaces for manifolds equipped with an integral closed $k$-form
JO - Archivum Mathematicum
PY - 2007
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 043
IS - 5
SP - 443
EP - 457
AB - 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 $U^{d(m,k)}$.
LA - eng
KW - closed $k$-form; universal space; $H$-principle; closed -form; universal space; -principle
UR - http://eudml.org/doc/250182
ER -