Natural transformations of symplectic structures into Poisson's and Jacobi's brackets
Archivum Mathematicum (1998)
- Volume: 034, Issue: 4, page 505-515
- ISSN: 0044-8753
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Abstract
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topDębecki, Jacek. "Natural transformations of symplectic structures into Poisson's and Jacobi's brackets." Archivum Mathematicum 034.4 (1998): 505-515. <http://eudml.org/doc/248187>.
@article{Dębecki1998,
abstract = {A complete classification of natural transformations of symplectic structures into Poisson's brackets as well as into Jacobi's brackets is given.},
author = {Dębecki, Jacek},
journal = {Archivum Mathematicum},
keywords = {natural operator; symplectic manifold; Poisson manifold; Jacobi manifold; natural operator; symplectic manifold; Poisson manifold; Poisson bracket; Jacobi bracket},
language = {eng},
number = {4},
pages = {505-515},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Natural transformations of symplectic structures into Poisson's and Jacobi's brackets},
url = {http://eudml.org/doc/248187},
volume = {034},
year = {1998},
}
TY - JOUR
AU - Dębecki, Jacek
TI - Natural transformations of symplectic structures into Poisson's and Jacobi's brackets
JO - Archivum Mathematicum
PY - 1998
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 034
IS - 4
SP - 505
EP - 515
AB - A complete classification of natural transformations of symplectic structures into Poisson's brackets as well as into Jacobi's brackets is given.
LA - eng
KW - natural operator; symplectic manifold; Poisson manifold; Jacobi manifold; natural operator; symplectic manifold; Poisson manifold; Poisson bracket; Jacobi bracket
UR - http://eudml.org/doc/248187
ER -
References
top- Dȩbecki J., Invariant vector fields of Hamiltonians, Archivum Mathematicum (Brno) 34 (1998), 295-300. (1998) MR1645328
- Kolář I., Michor P. W., Slovák J., Natural operations in differential geometry, Springer-Verlag, 1993. (1993) Zbl0782.53013MR1202431
- Peetre J., Une caractérisation abstraite des opérateurs différentiels, Math. Scand. 7 (1959), 211-218. (1959) Zbl0089.32502MR0112146
- Peetre J., Réctification a l’article “Une caractérisation abstraite des opérateurs différentiels”, Math. Scand. 8 (1960), 116-120. (1960) Zbl0097.10402MR0124611
- Vaisman I., Lectures on the Geometry of Poisson Manifolds, Birkhäuser, Basel–Boston–Berlin, 1994. (1994) Zbl0810.53019MR1269545
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