| Title:
|
Natural transformations of symplectic structures into Poisson's and Jacobi's brackets (English) |
| Author:
|
Dębecki, Jacek |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
34 |
| Issue:
|
4 |
| Year:
|
1998 |
| Pages:
|
505-515 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A complete classification of natural transformations of symplectic structures into Poisson's brackets as well as into Jacobi's brackets is given. (English) |
| Keyword:
|
natural operator |
| Keyword:
|
symplectic manifold |
| Keyword:
|
Poisson manifold |
| Keyword:
|
Jacobi manifold |
| MSC:
|
53D05 |
| MSC:
|
53D17 |
| idZBL:
|
Zbl 0966.53052 |
| idMR:
|
MR1679644 |
| . |
| Date available:
|
2009-02-17T10:16:16Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107677 |
| . |
| Reference:
|
[1] Dȩbecki J.: Invariant vector fields of Hamiltonians.Archivum Mathematicum (Brno) 34 (1998), 295-300. MR 1645328 |
| Reference:
|
[2] Kolář I., Michor P. W., Slovák J.: Natural operations in differential geometry.Springer-Verlag, 1993. Zbl 0782.53013, MR 1202431 |
| Reference:
|
[3] Peetre J.: Une caractérisation abstraite des opérateurs différentiels.Math. Scand. 7 (1959), 211-218. Zbl 0089.32502, MR 0112146 |
| Reference:
|
[4] Peetre J.: Réctification a l’article “Une caractérisation abstraite des opérateurs différentiels”.Math. Scand. 8 (1960), 116-120. Zbl 0097.10402, MR 0124611 |
| Reference:
|
[5] Vaisman I.: Lectures on the Geometry of Poisson Manifolds.Birkhäuser, Basel–Boston–Berlin, 1994. Zbl 0810.53019, MR 1269545 |
| . |
