Liouville forms in a neighborhood of an isotropic embedding
Annales de l'institut Fourier (1997)
- Volume: 47, Issue: 1, page 257-272
- ISSN: 0373-0956
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topLoose, Frank. "Liouville forms in a neighborhood of an isotropic embedding." Annales de l'institut Fourier 47.1 (1997): 257-272. <http://eudml.org/doc/75228>.
@article{Loose1997,
abstract = {A Liouville form on a symplectic manifold $(X,\omega )$ is by definition a potential $\beta $ of the symplectic form $-d\beta =\omega $. Its center $M$ is given by $\beta ^\{-1\}(0)$. A normal form for certain Liouville forms in a neighborhood of its center is given.},
author = {Loose, Frank},
journal = {Annales de l'institut Fourier},
keywords = {symplectic manifold; Liouville form; isotropic embedding; normal form},
language = {eng},
number = {1},
pages = {257-272},
publisher = {Association des Annales de l'Institut Fourier},
title = {Liouville forms in a neighborhood of an isotropic embedding},
url = {http://eudml.org/doc/75228},
volume = {47},
year = {1997},
}
TY - JOUR
AU - Loose, Frank
TI - Liouville forms in a neighborhood of an isotropic embedding
JO - Annales de l'institut Fourier
PY - 1997
PB - Association des Annales de l'Institut Fourier
VL - 47
IS - 1
SP - 257
EP - 272
AB - A Liouville form on a symplectic manifold $(X,\omega )$ is by definition a potential $\beta $ of the symplectic form $-d\beta =\omega $. Its center $M$ is given by $\beta ^{-1}(0)$. A normal form for certain Liouville forms in a neighborhood of its center is given.
LA - eng
KW - symplectic manifold; Liouville form; isotropic embedding; normal form
UR - http://eudml.org/doc/75228
ER -
References
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- [SjLe] R. SJAMAAR and E. LERMAN, Stratified symplectic spaces and reduction, Ann. Math., 134 (1991), 375-422. Zbl0759.58019MR92g:58036
- [We1] A. WEINSTEIN, Lectures on symplectic manifolds, CBMS Regional Conf. Series in Math., 29, 1977. Zbl0406.53031MR57 #4244
- [We2] A. WEINSTEIN, Neighborhood classification of isotropic embeddings, J. Differ. Geom., 16 (1981), 125-128. Zbl0453.53030MR82m:53060
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