PROJECTORS OF A $3$-WEB

Alena Van\v{z}urov\'a

Key words: Manifold, three-web, distribution, projector,
        Nijenhuis tensor.

1991 Math. Subject Classification: 53A60.

Abstract: Our aim is to investigate in details projectors of a $3$-web,
to find a correspondence between Nijenhuis brackets (denoted
by $[\,,\,]$) of the projector fields on a $3$-web manifold and
properties of the Chern connections corresponding to the web.