Averaging of Legendrian submanifolds of contact manifolds

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We give a procedure to ``average'' canonically $C^1$-close Legendrian submanifolds of contact manifolds. As a corollary we obtain that, whenever a compact group action leaves a Legendrian submanifold almost invariant, there is an invariant Legendrian submanifold nearby.
Extention of results to non co-orientable contact manifolds (Section 5 added). 7 pages

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Symplectic Geometry, Differential Geometry, 53D10

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http://salesiana.dossiersoluciones.com/handle/123456789/96715

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403199
 http://arxiv.org/abs/math/0403199
 Annals of Global Analysis and Geometry, Vol. 28, No. 3 (2005), pp. 301-308.

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arXiv