{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,8]],"date-time":"2026-01-08T10:05:05Z","timestamp":1767866705053,"version":"3.49.0"},"reference-count":20,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Topol. Anal."],"published-print":{"date-parts":[[2010,9]]},"abstract":"<jats:p> In his article [23] on generating functions Viterbo constructed a bi-invariant metric on the group of compactly supported Hamiltonian symplectomorphisms of \u211d<jats:sup>2n<\/jats:sup>. Using the setup of [18] we extend the Viterbo metric to the group Cont<jats:sub>0<\/jats:sub> <jats:sup>c<\/jats:sup> (\u211d<jats:sup>2n<\/jats:sup>\u00d7S<jats:sup>1<\/jats:sup>) of compactly supported contactomorphisms of \u211d<jats:sup>2n<\/jats:sup>\u00d7S<jats:sup>1<\/jats:sup> isotopic to the identity. We also prove that Cont<jats:sub>0<\/jats:sub> <jats:sup>c<\/jats:sup>(\u211d<jats:sup>2n<\/jats:sup>\u00d7S<jats:sup>1<\/jats:sup>) is unbounded with respect to this metric. <\/jats:p>","DOI":"10.1142\/s1793525310000355","type":"journal-article","created":{"date-parts":[[2010,9,2]],"date-time":"2010-09-02T04:38:56Z","timestamp":1283402336000},"page":"327-339","source":"Crossref","is-referenced-by-count":14,"title":["AN INTEGER-VALUED BI-INVARIANT METRIC ON THE GROUP OF CONTACTOMORPHISMS OF \u211d<sup>2n<\/sup> \u00d7 S<sup>1<\/sup>"],"prefix":"10.1142","volume":"02","author":[{"given":"SHEILA","family":"SANDON","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica, Instituto Superior T\u00e9cnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","first-page":"125","volume":"25","author":"Bhupal M.","journal-title":"Turkish J. Math."},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1215\/S0012-7094-94-07609-6"},{"key":"rf3","unstructured":"D.\u00a0Burago, S.\u00a0Ivanov and L.\u00a0Polterovich, Groups of Diffeomorphisms: In Honor of Shigeyuki Morita on the Occasion of His 60th Birthday, Advanced Studies in Pure Mathematics\u00a052 (Math. Society, Japan, 2008)\u00a0pp. 221\u2013250."},{"key":"rf4","first-page":"293","volume":"298","author":"Chaperon M.","journal-title":"C. R. Acad. Sci. Paris, S\u00e9r. I Math."},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-9217-9_12"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1007\/BF02509451"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.2140\/gt.2006.10.1635"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1007\/PL00001656"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1007\/BF01388806"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1017\/S0308210500024549"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-8540-9"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.2307\/2118524"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1007\/BF01388807"},{"key":"rf14","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1017\/S0143385700007410","volume":"13","author":"Polterovich L.","journal-title":"Ergodic Th. Dynam. Syst."},{"key":"rf15","first-page":"119","volume":"302","author":"Sikorav J. C.","journal-title":"C. R. Acad. Sci. Paris, S\u00e9r. I Math."},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1007\/BF02564438"},{"key":"rf17","volume-title":"Systemes Hamiltoniens et Topologie Symplectique","author":"Sikorav J. C.","year":"1990"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1016\/S0166-8641(98)00049-2"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1007\/BF01896659"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1007\/BF01444643"}],"container-title":["Journal of Topology and Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793525310000355","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T11:28:43Z","timestamp":1565090923000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793525310000355"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,9]]},"references-count":20,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2010,9]]}},"alternative-id":["10.1142\/S1793525310000355"],"URL":"https:\/\/doi.org\/10.1142\/s1793525310000355","relation":{},"ISSN":["1793-5253","1793-7167"],"issn-type":[{"value":"1793-5253","type":"print"},{"value":"1793-7167","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,9]]}}}