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Keywords:
distribution; projector; manifold; three-web; regular (parallelisable) web
distribution; projector; manifold; three-web; regular (parallelisable) web
Summary:
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.
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