@article{4718836865a343fc81872a6d8fed59da,
title = "On Sandon-type metrics for contactomorphism groups",
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.",
keywords = "Conjugation Invariant norm, Contact manifold, Contactomorphism",
author = "Maia Fraser and Leonid Polterovich and Daniel Rosen",
note = "Publisher Copyright: {\textcopyright} 2017, Fondation Carl-Herz and Springer International Publishing AG.",
year = "2018",
month = oct,
day = "1",
doi = "10.1007/s40316-017-0092-z",
language = "אנגלית",
volume = "42",
pages = "191--214",
journal = "Annales Mathematiques du Quebec",
issn = "2195-4755",
publisher = "Springer International Publishing AG",
number = "2",
}