caa a22 4500 605525129 CHVBK 20210128100757.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s10958-015-2429-y doi (NATIONALLICENCE)springer-10.1007/s10958-015-2429-y Zhukova N. National Research University Higher School of Economics, 25/12, Bol'shaya Pechorskaya St, 603155, Nizhny Novgorod, Russia aut Transverse Equivalence of Complete Conformal Foliations [Elektronische Daten] [N. Zhukova] 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 ( S q $$ {\mathbb{S}}^{\mathrm{q}} $$ ). Moreover, any countable essential subgroup of the group Conf ( S q $$ {\mathbb{S}}^{\mathrm{q}} $$ ) is realized as the global holonomy group of some non-Riemannian conformal foliation of codimension q. Bibliography: 16 titles. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/1(2015-06-01), 115-130 1072-3374 208:1<115 2015 208 10958 https://doi.org/10.1007/s10958-015-2429-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2429-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zhukova N. National Research University Higher School of Economics, 25/12, Bol'shaya Pechorskaya St, 603155, Nizhny Novgorod, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/1(2015-06-01), 115-130 1072-3374 208:1<115 2015 208 10958