On contact -spheres
- [1] Université de Mulhouse, laboratoire de mathématiques, 6 rue des frères Lumière, 68093 Mulhouse (France)
Annales de l’institut Fourier (2005)
- Volume: 55, Issue: 4, page 1167-1194
- ISSN: 0373-0956
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topZessin, Mathias. "On contact $p$-spheres." Annales de l’institut Fourier 55.4 (2005): 1167-1194. <http://eudml.org/doc/116216>.
@article{Zessin2005,
abstract = {We study invariant contact $p$-spheres on principal circle-bundles and solve the
corresponding existence problem in dimension 3. Moreover, we show that contact $p$-
spheres can only exist on $(4n-1)$-dimensional manifolds and we construct examples of
contact $p$-spheres on such manifolds. We also consider relations between tautness and
roundness, a regularity property concerning the Reeb vector fields of the contact forms
in a contact $p$-sphere.},
affiliation = {Université de Mulhouse, laboratoire de mathématiques, 6 rue des frères Lumière, 68093 Mulhouse (France)},
author = {Zessin, Mathias},
journal = {Annales de l’institut Fourier},
keywords = {contact $p$-spheres; invariant contact forms; principal fibre bundles; contact p-spheres},
language = {eng},
number = {4},
pages = {1167-1194},
publisher = {Association des Annales de l'Institut Fourier},
title = {On contact $p$-spheres},
url = {http://eudml.org/doc/116216},
volume = {55},
year = {2005},
}
TY - JOUR
AU - Zessin, Mathias
TI - On contact $p$-spheres
JO - Annales de l’institut Fourier
PY - 2005
PB - Association des Annales de l'Institut Fourier
VL - 55
IS - 4
SP - 1167
EP - 1194
AB - We study invariant contact $p$-spheres on principal circle-bundles and solve the
corresponding existence problem in dimension 3. Moreover, we show that contact $p$-
spheres can only exist on $(4n-1)$-dimensional manifolds and we construct examples of
contact $p$-spheres on such manifolds. We also consider relations between tautness and
roundness, a regularity property concerning the Reeb vector fields of the contact forms
in a contact $p$-sphere.
LA - eng
KW - contact $p$-spheres; invariant contact forms; principal fibre bundles; contact p-spheres
UR - http://eudml.org/doc/116216
ER -
References
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- R. Lutz, Sur la géométrie des structures de contact invariantes, Ann. Inst. Fourier, Grenoble 29 (1979), 283-306 Zbl0379.53011MR526789
- J. Martinet, Sur les singularités des formes différentielles, Ann. Inst. Fourier 20 (1970), 95-178 Zbl0189.10001MR286119
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