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2014•arXiv (Cornell University)Open access

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

Roger Casals, Francisco Presas, Sheila Sandon

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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.

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What this paper is about

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.

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Mathematics, Pure mathematics, Mathematical analysis

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