Averaging of Legendrian submanifolds of contact manifolds
Symplectic Geometry
2007-05-23 v2 Differential Geometry
Abstract
We give a procedure to ``average'' canonically -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.
Keywords
Cite
@article{arxiv.math/0403199,
title = {Averaging of Legendrian submanifolds of contact manifolds},
author = {Marco Zambon},
journal= {arXiv preprint arXiv:math/0403199},
year = {2007}
}
Comments
Extention of results to non co-orientable contact manifolds (Section 5 added). 7 pages