# Foliation with a trivial leaf holonomy

In 1960, R. Hermann showed the following:

Theorem Let $$M$$ to be a variety with a foliation $$F$$ and a package-like metric, if all the sheets are compact and the holonomy group of each sheet is trivial, then $$M / F$$ is a smooth variety.
(This is the partial result of the main theorem on Hermann, R., On the differential geometry of foliations, Ann. Math. (2) 72, 445-457 (1960). ZBL0196.54204.)

Q If we abandon the condition of a package and admit the trivial holistic group, can we achieve the same result? C & # 39; is to say:

Let $$M$$ to be a variety with a foliation $$F$$if all the leaves are compact and diffeomorphistic from each other and the holonomy group of each leaf is trivial, is it true that $$M / F$$ is a smooth variety?

PS: I'm not sure if such a problem has been proven or refuted? Any reference is welcome.