Averaging of Legendrian submanifolds of contact manifolds

Details Averaging of Legendrian submanifolds of contact manifolds Averaging of Legendrian submanifolds of contact manifolds

2004-03-11

arxiv.org/abs/math/0403199v2

Annals of Global Analysis and Geometry, Vol. 28, No. 3 (2005), pp. 301-308.

Mathematics

Symplectic Geometry

Extention of results to non co-orientable contact manifolds (Section 5 added). 7 pages

Scientific paper

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.

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