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Regular version of the site

Article

Transverse Equivalence of Complete Conformal Foliations

Journal of Mathematical Sciences. 2015. Vol. 208. No. 1. P. 115-130.

We study the problem of classification of complete non-Riemannian conformal foliations of codimension q > 2 with respect to transverse equivalence. It is proved that two such foliations are transversally equivalent if and only if their global holonomy groups are conjugate in the group of conformal transformations of the q-dimensional sphere Conf (Sq). Moreover, any countable essential subgroup of the group Conf (Sq) is realized as the global holonomy group of some non-Riemannian conformal foliation of codimension q.