Nambu-Poisson Tensors on Lie Groups
Banach Center Publications (2000)
- Volume: 51, Issue: 1, page 243-249
- ISSN: 0137-6934
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topNakanishi, Nobutada. "Nambu-Poisson Tensors on Lie Groups." Banach Center Publications 51.1 (2000): 243-249. <http://eudml.org/doc/209036>.
@article{Nakanishi2000,
abstract = {First as an application of the local structure theorem for Nambu-Poisson tensors, we characterize them in terms of differential forms. Secondly left invariant Nambu-Poisson tensors on Lie groups are considered.},
author = {Nakanishi, Nobutada},
journal = {Banach Center Publications},
keywords = {Nambu-Poisson structure; invariant Nambu-Poisson tensor; Lie group; Lie algebra; homogeneous space},
language = {eng},
number = {1},
pages = {243-249},
title = {Nambu-Poisson Tensors on Lie Groups},
url = {http://eudml.org/doc/209036},
volume = {51},
year = {2000},
}
TY - JOUR
AU - Nakanishi, Nobutada
TI - Nambu-Poisson Tensors on Lie Groups
JO - Banach Center Publications
PY - 2000
VL - 51
IS - 1
SP - 243
EP - 249
AB - First as an application of the local structure theorem for Nambu-Poisson tensors, we characterize them in terms of differential forms. Secondly left invariant Nambu-Poisson tensors on Lie groups are considered.
LA - eng
KW - Nambu-Poisson structure; invariant Nambu-Poisson tensor; Lie group; Lie algebra; homogeneous space
UR - http://eudml.org/doc/209036
ER -
References
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- [3] B.-Y. Chu, Symplectic homogeneous spaces, Trans. Amer. Math. Soc. 197 (1974), 145-159. Zbl0261.53039
- [4] P. Gautheron, Some remarks concerning Nambu mechanics, Lett. Math. Phys. 37 (1996). 103-116. Zbl0849.70014
- [5] N. Nakanishi, On Nambu-Poisson manifolds, Rev. Math. Phys. 10 (1998), 499-510. Zbl0929.70015
- [6] L. Takhtajan, On foundation of the generalized Nambu mechanics, Commun. Math. Phys. 160 (1994), 295-315. Zbl0808.70015
- [7] I. Vaisman, Lectures on the geometry of Poisson manifolds, Birkhäuser, Basel, 1994.
- [8] A. Weinstein, The local structure of Poisson manifolds, J. Diff. Geom. 18 (1983), 523-557. Zbl0524.58011
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