Positive isotopies of Legendrian submanifolds and applications

Details Positive isotopies of Legendrian submanifolds and applications Positive isotopies of Legendrian submanifolds and applications

2010-04-29

arxiv.org/abs/1004.5263v1

Mathematics

Symplectic Geometry

Scientific paper

We show that there is no positive loop inside the component of a fiber in the space of Legendrian embeddings in the contact manifold $ST^*M$, provided that the universal cover of $M$ is $\RM^n$. We consider some related results in the space of one-jets of functions on a compact manifold. We give an application to the positive isotopies in homogeneous neighborhoods of surfaces in a tight contact 3-manifold.

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