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arXiv · 0910.5632

An integer valued bi-invariant metric on the group of contactomorphisms of R^2n x S^1

Sheila Sandon
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Abstract

In his 1992 article on generating functions Viterbo constructed a bi-invariant metric on the group of compactly supported Hamiltonian symplectomorphisms of R^2n. Using the set-up of arXiv:0901.3112 we extend the Viterbo metric to the group of compactly supported contactomorphisms of R^2n x S^1 isotopic to the identity. We also prove that the contactomorphism group is unbounded with respect to this metric.

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Sheila Sandon. 2009-10-29. An integer valued bi-invariant metric on the group of contactomorphisms of R^2n x S^1. https://arxiv.org/abs/0910.5632

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