Invariant vector fields of Hamiltonians

Jacek Dębecki

Archivum Mathematicum (1998)

  • Volume: 034, Issue: 2, page 295-300
  • ISSN: 0044-8753

Abstract

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A complete classification of natural transformations of Hamiltonians into vector fields on symplectic manifolds is given herein.

How to cite

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Dębecki, Jacek. "Invariant vector fields of Hamiltonians." Archivum Mathematicum 034.2 (1998): 295-300. <http://eudml.org/doc/248199>.

@article{Dębecki1998,
abstract = {A complete classification of natural transformations of Hamiltonians into vector fields on symplectic manifolds is given herein.},
author = {Dębecki, Jacek},
journal = {Archivum Mathematicum},
keywords = {symplectic manifold; Hamiltonian lift; natural operator; symplectic manifold; Hamiltonian lift; natural operator},
language = {eng},
number = {2},
pages = {295-300},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Invariant vector fields of Hamiltonians},
url = {http://eudml.org/doc/248199},
volume = {034},
year = {1998},
}

TY - JOUR
AU - Dębecki, Jacek
TI - Invariant vector fields of Hamiltonians
JO - Archivum Mathematicum
PY - 1998
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 034
IS - 2
SP - 295
EP - 300
AB - A complete classification of natural transformations of Hamiltonians into vector fields on symplectic manifolds is given herein.
LA - eng
KW - symplectic manifold; Hamiltonian lift; natural operator; symplectic manifold; Hamiltonian lift; natural operator
UR - http://eudml.org/doc/248199
ER -

References

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  1. Dȩbecki J., Gancarzewicz J., de León M., Mikulski W., Invariants of Lagrangians and their calssifications, J. Math. Phys., Vol. 35, No. 9, 1994, pp. 4568–4593. (1994) MR1290890
  2. Dȩbecki J., Natural transformations of Lagrangians into p -forms on the tangent bundle; Quantization, Coherent States, and Complex Structures, Plenum Publishing Corp., New York, 1995, pp. 141–146. (1995) MR1403155
  3. Doupovec M., Kurek J., Natural operations of Hamiltonian type on the cotangent bundle, Suppl. Rend. Circ. Mat. Palermo, Serie II 34 (1995). (1995) 
  4. Kolář I., Michor P. W., Slovák J., Natural Operations in Differential Geometry, Springer-Verlag, Berlin, 1993. (1993) MR1202431
  5. de León M., Rodrigues P. R., Methods of Differential Geometry in Analytical Mechanics, North-Holland Math. Ser., Vol. 152, Amsterdam, 1989. (1989) MR1021489

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