| Title:
|
Non-decomposable Nambu brackets (English) |
| Author:
|
Bering, Klaus |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
51 |
| Issue:
|
4 |
| Year:
|
2015 |
| Pages:
|
211-232 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
It is well-known that the Fundamental Identity (FI) implies that Nambu brackets are decomposable, i.e. given by a determinantal formula. We find a weaker alternative to the FI that allows for non-decomposable Nambu brackets, but still yields a Darboux-like Theorem via a Nambu-type generalization of Weinstein’s splitting principle for Poisson manifolds. (English) |
| Keyword:
|
Nambu bracket |
| Keyword:
|
Darboux Theorem |
| Keyword:
|
Moser trick |
| Keyword:
|
multisymplectic |
| Keyword:
|
presymplectic |
| Keyword:
|
Weinstein splitting principle |
| MSC:
|
53D17 |
| MSC:
|
53D99 |
| MSC:
|
58A10 |
| MSC:
|
70G10 |
| MSC:
|
70G45 |
| MSC:
|
70H50 |
| idZBL:
|
Zbl 06537726 |
| idMR:
|
MR3434604 |
| DOI:
|
10.5817/AM2015-4-211 |
| . |
| Date available:
|
2015-11-30T10:00:44Z |
| Last updated:
|
2016-04-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144481 |
| . |
| Reference:
|
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