Self-Similarity of Poisson structures on tori
Kentaro Mikami; Alan Weinstein
Banach Center Publications (2000)
- Volume: 51, Issue: 1, page 211-217
- ISSN: 0137-6934
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topMikami, Kentaro, and Weinstein, Alan. "Self-Similarity of Poisson structures on tori." Banach Center Publications 51.1 (2000): 211-217. <http://eudml.org/doc/209033>.
@article{Mikami2000,
abstract = {We study the group of diffeomorphisms of a 3-dimensional Poisson torus which preserve the Poisson structure up to a constant multiplier, and the group of similarity ratios.},
author = {Mikami, Kentaro, Weinstein, Alan},
journal = {Banach Center Publications},
keywords = {Poisson structures; tori; self-similarities; scaling group},
language = {eng},
number = {1},
pages = {211-217},
title = {Self-Similarity of Poisson structures on tori},
url = {http://eudml.org/doc/209033},
volume = {51},
year = {2000},
}
TY - JOUR
AU - Mikami, Kentaro
AU - Weinstein, Alan
TI - Self-Similarity of Poisson structures on tori
JO - Banach Center Publications
PY - 2000
VL - 51
IS - 1
SP - 211
EP - 217
AB - We study the group of diffeomorphisms of a 3-dimensional Poisson torus which preserve the Poisson structure up to a constant multiplier, and the group of similarity ratios.
LA - eng
KW - Poisson structures; tori; self-similarities; scaling group
UR - http://eudml.org/doc/209033
ER -
References
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- [6] A. Weinstein, The modular automorphism group of a Poisson manifold, J. Geom. Phys. 23 (1997), 379-394. Zbl0902.58013
- [7] A. Weinstein, Poisson geometry, Diff. Geom. Appl. 9 (1998), 213-238.
- [8] A. Weinstein and P. Xu, Hochschild cohomology and characteristic classes for star-products, in: Topics in singularity theory: V.I. Arnold's 60th anniversary collection, A. Khovanskii, A. Varchenko, V. Vassiliev, eds., Amer. Math. Soc., Providence, 1997, 177-194.
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