# Parallelisability conditions for differentiable three-webs

Archivum Mathematicum (1995)

- Volume: 031, Issue: 1, page 75-84
- ISSN: 0044-8753

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topVanžurová, Alena. "Parallelisability conditions for differentiable three-webs." Archivum Mathematicum 031.1 (1995): 75-84. <http://eudml.org/doc/18424>.

@article{Vanžurová1995,

abstract = {Our aim is to find conditions under which a 3-web on a smooth $2n$-dimensional manifold is locally equivalent with a web formed by three systems of parallel $n$-planes in $\{R\}^\{2n\}$. We will present here a new approach to this “classical” problem using projectors onto the distributions of tangent subspaces to the leaves of foliations forming the web.},

author = {Vanžurová, Alena},

journal = {Archivum Mathematicum},

keywords = {distribution; projector; manifold; three-web; regular (parallelisable) web; 3-webs; Chern connection; parallelizability condition},

language = {eng},

number = {1},

pages = {75-84},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Parallelisability conditions for differentiable three-webs},

url = {http://eudml.org/doc/18424},

volume = {031},

year = {1995},

}

TY - JOUR

AU - Vanžurová, Alena

TI - Parallelisability conditions for differentiable three-webs

JO - Archivum Mathematicum

PY - 1995

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 031

IS - 1

SP - 75

EP - 84

AB - Our aim is to find conditions under which a 3-web on a smooth $2n$-dimensional manifold is locally equivalent with a web formed by three systems of parallel $n$-planes in ${R}^{2n}$. We will present here a new approach to this “classical” problem using projectors onto the distributions of tangent subspaces to the leaves of foliations forming the web.

LA - eng

KW - distribution; projector; manifold; three-web; regular (parallelisable) web; 3-webs; Chern connection; parallelizability condition

UR - http://eudml.org/doc/18424

ER -

## References

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