On the non-existence of small positive loops of contactomorphisms on overtwisted contact manifolds

Abstract

We prove that on overtwisted contact manifolds there can be no positive loops of contactomorphisms that are generated by a $C^0$-small Hamiltonian function.

arXiv comment10 pages, 1 figure

References in corpus (2)

• Geometry of contact transformations and domains: orderability versus squeezing
• The plastikstufe - a generalization of the overtwisted disk to higher dimensions

Cited by in corpus (2)

• Existence and classification of overtwisted contact structures in all dimensions
• On positive loops of loose Legendrian embeddings