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• W2963101256 abstract "For certain contact manifolds admitting a 1-periodic Reeb flow we construct a conjugation-invariant norm on the universal cover of the contactomorphism group. With respect to this norm the group admits a quasi-isometric monomorphism of the real line. The construction involves the partial order on contactomorphisms and symplectic intersections. This norm descends to a conjugation-invariant norm on the contactomorphism group. As a counterpoint, we discuss conditions under which conjugation-invariant norms for contactomorphisms are necessarily bounded." @default.
• W2963101256 created "2019-07-30" @default.
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• W2963101256 date "2017-10-16" @default.
• W2963101256 modified "2023-10-03" @default.
• W2963101256 title "On Sandon-type metrics for contactomorphism groups" @default.
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• W2963101256 doi "https://doi.org/10.1007/s40316-017-0092-z" @default.
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