| Title:
|
Natural operations of Hamiltonian type on the cotangent bundle (English) |
| Author:
|
Doupovec, Miroslav |
| Author:
|
Kurek, Jan |
| Language:
|
English |
| Journal:
|
Proceedings of the 16th Winter School "Geometry and Physics" |
| Volume:
|
|
| Issue:
|
1996 |
| Year:
|
|
| Pages:
|
[81]-86 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The authors study some geometrical constructions on the cotangent bundle $T^*M$ from the viewpoint of natural operations. First they deduce that all natural operators transforming functions on $T^*M$ into vector fields on $T^*M$ are linearly generated by the Hamiltonian vector field with respect to the canonical symplectic structure of $T^*M$ and by the Liouville vector field of $T^*M$. Then they determine all natural operators transforming pairs of functions on $T^*M$ into functions on $T^*M$. In this case, the main generator is the classical Poisson bracket. (English) |
| MSC:
|
37J99 |
| MSC:
|
53C15 |
| MSC:
|
58F05 |
| idZBL:
|
Zbl 0883.53036 |
| idMR:
|
MR1469023 |
| . |
| Date available:
|
2009-07-13T21:37:48Z |
| Last updated:
|
2025-06-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/701597 |
| . |
