| Title:
|
On Lie algebras of generators of infinitesimal symmetries of almost-cosymplectic-contact structures (English) |
| Author:
|
Janyška, Josef |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
52 |
| Issue:
|
5 |
| Year:
|
2016 |
| Pages:
|
325-339 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study Lie algebras of generators of infinitesimal symmetries of almost-cosymplectic-contact structures of odd dimensional manifolds. The almost-cosymplectic-contact structure admits on the sheaf of pairs of 1-forms and functions the structure of a Lie algebra. We describe Lie subalgebras in this Lie algebra given by pairs generating infinitesimal symmetries of basic tensor fields given by the almost-cosymplectic-contact structure. (English) |
| Keyword:
|
almost-cosymplectic-contact structure |
| Keyword:
|
almost-coPoisson-Jacobi structure |
| Keyword:
|
infinitesimal symmetry |
| Keyword:
|
Lie algebra |
| MSC:
|
53C15 |
| idZBL:
|
Zbl 06674908 |
| idMR:
|
MR3610867 |
| DOI:
|
10.5817/AM2016-5-325 |
| . |
| Date available:
|
2016-12-20T21:58:45Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/145939 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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