Holonomie et cycle évanouissant
Annales de l'institut Fourier (1981)
- Volume: 31, Issue: 4, page 181-186
- ISSN: 0373-0956
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topWallet, Guy. "Holonomie et cycle évanouissant." Annales de l'institut Fourier 31.4 (1981): 181-186. <http://eudml.org/doc/74514>.
@article{Wallet1981,
abstract = {On démontre que l’holonomie est non triviale au voisinage d’un cycle évanouissant au moyen d’un critère d’Imanishi et on donne une démonstration non standard de ce dernier.},
author = {Wallet, Guy},
journal = {Annales de l'institut Fourier},
keywords = {holonomy of a codimension-1-foliation with vanishing cycle; non-standard analysis},
language = {fre},
number = {4},
pages = {181-186},
publisher = {Association des Annales de l'Institut Fourier},
title = {Holonomie et cycle évanouissant},
url = {http://eudml.org/doc/74514},
volume = {31},
year = {1981},
}
TY - JOUR
AU - Wallet, Guy
TI - Holonomie et cycle évanouissant
JO - Annales de l'institut Fourier
PY - 1981
PB - Association des Annales de l'Institut Fourier
VL - 31
IS - 4
SP - 181
EP - 186
AB - On démontre que l’holonomie est non triviale au voisinage d’un cycle évanouissant au moyen d’un critère d’Imanishi et on donne une démonstration non standard de ce dernier.
LA - fre
KW - holonomy of a codimension-1-foliation with vanishing cycle; non-standard analysis
UR - http://eudml.org/doc/74514
ER -
References
top- [1] H. IMANISHI, On the Theorem of Denjoy-Sacksteder for Codimension One Foliations without Holonomy, J. Math. Kyoto Univ., 14-3 (1974), 607-634. Zbl0296.57006MR51 #4270
- [2] E. NELSON, Internal Set Theory : a New Approach to Nonstandard Analysis, Bull. of the Amer. Math. Soc., vol. 83, n° 6 (novembre 1977). Zbl0373.02040MR57 #9544
- [3] R. SACKSTEDER, Foliations and Pseudo-groups, Amer. J. Math., 87 (1965), 79-102. Zbl0136.20903MR30 #4268
- [4] P. A. SCHWEITZER, Some Problems in Foliation Theory and Related Areas. Differential Topology, Foliations and Gelfand-Fuks Cohomology, Proceedings, Rio de Janeiro 1976, Lecture Notes in Mathematics, 652. Zbl0377.57001
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