Transverse Equivalence of Complete Conformal Foliations
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 605525129 | ||
| 003 | CHVBK | ||
| 005 | 20210128100757.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150601xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10958-015-2429-y |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2429-y | ||
| 100 | 1 | |a Zhukova |D N. |u National Research University Higher School of Economics, 25/12, Bol'shaya Pechorskaya St, 603155, Nizhny Novgorod, Russia |4 aut | |
| 245 | 1 | 0 | |a Transverse Equivalence of Complete Conformal Foliations |h [Elektronische Daten] |c [N. Zhukova] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 208/1(2015-06-01), 115-130 |x 1072-3374 |q 208:1<115 |1 2015 |2 208 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2429-y |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2429-y |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Zhukova |D N. |u National Research University Higher School of Economics, 25/12, Bol'shaya Pechorskaya St, 603155, Nizhny Novgorod, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 208/1(2015-06-01), 115-130 |x 1072-3374 |q 208:1<115 |1 2015 |2 208 |o 10958 | ||