Complex, Symplectic, and Contact Structures on Low-Dimensional Lie Groups
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| 001 | 605522634 | ||
| 003 | CHVBK | ||
| 005 | 20210128100745.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150601xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10958-015-2385-6 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2385-6 | ||
| 100 | 1 | |a Smolentsev |D N. |u Kemerovo State University, Kemerovo, Russia |4 aut | |
| 245 | 1 | 0 | |a Complex, Symplectic, and Contact Structures on Low-Dimensional Lie Groups |h [Elektronische Daten] |c [N. Smolentsev] |
| 520 | 3 | |a Abstract : It is well known that on any Lie group, a left-invariant Riemannian structure can be defined. For other left-invariant geometric structures, for example, complex, symplectic, or contact structures, there are difficult obstructions for their existence, which have still not been overcome, although a lot of works were devoted to them. In recent years, substantial progress in this direction has been made; in particular, classification theorems for low-dimensional groups have been obtained. This paper is a brief review of left-invariant complex, symplectic, pseudo-Kählerian, and contact structures on low-dimensional Lie groups and classification results for Lie groups of dimension 4, 5, and 6. | |
| 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 207/4(2015-06-01), 551-613 |x 1072-3374 |q 207:4<551 |1 2015 |2 207 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2385-6 |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/s10958-015-2385-6 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Smolentsev |D N. |u Kemerovo State University, Kemerovo, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 207/4(2015-06-01), 551-613 |x 1072-3374 |q 207:4<551 |1 2015 |2 207 |o 10958 | ||