Natural operations of Hamiltonian type on the cotangent bundle

Doupovec, Miroslav, and Kurek, Jan. "Natural operations of Hamiltonian type on the cotangent bundle." Proceedings of the 16th Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1997. [81]-86. <http://eudml.org/doc/221232>.

@inProceedings{Doupovec1997,
abstract = {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.},
author = {Doupovec, Miroslav, Kurek, Jan},
booktitle = {Proceedings of the 16th Winter School "Geometry and Physics"},
keywords = {Proceedings; Winter school; Srní (Czech Republic); Geometry; Physics},
location = {Palermo},
pages = {[81]-86},
publisher = {Circolo Matematico di Palermo},
title = {Natural operations of Hamiltonian type on the cotangent bundle},
url = {http://eudml.org/doc/221232},
year = {1997},
}

TY - CLSWK
AU - Doupovec, Miroslav
AU - Kurek, Jan
TI - Natural operations of Hamiltonian type on the cotangent bundle
T2 - Proceedings of the 16th Winter School "Geometry and Physics"
PY - 1997
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [81]
EP - 86
AB - 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.
KW - Proceedings; Winter school; Srní (Czech Republic); Geometry; Physics
UR - http://eudml.org/doc/221232
ER -