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https://hdl.handle.net/1959.11/2919
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Harris, Adam | en |
dc.contributor.author | Paternain, Gabriel P | en |
dc.date.accessioned | 2009-11-06T15:09:00Z | - |
dc.date.issued | 2008 | - |
dc.identifier.citation | Annals of Global Analysis and Geometry, 34(2), p. 115-134 | en |
dc.identifier.issn | 1572-9060 | en |
dc.identifier.issn | 0232-704X | en |
dc.identifier.uri | https://hdl.handle.net/1959.11/2919 | - |
dc.description.abstract | We explore the relationship between contact forms on S³ defined by Finsler metrics on S² and the theory developed by H. Hofer, K.Wysocki and E. Zehnder (Hofer et al. Ann. Math. 148, 197–289, 1998; Ann. Math. 157, 125–255, 2003). We show that a Finsler metric on S² with curvature K ≥ 1 and with all geodesic loops of length >π is dynamically convex and hence it has either two or infinitely many closed geodesics. We also explain how to explicitly construct J -holomorphic embeddings of cylinders asymptotic to Reeb orbits of contact structures arising from Finsler metrics on S² with K = 1, thus complementing the results obtained in Harris and Wysocki (Trans. Am. Math. Soc., to appear). | en |
dc.language | en | en |
dc.publisher | Springer Netherlands | en |
dc.relation.ispartof | Annals of Global Analysis and Geometry | en |
dc.title | Dynamically convex Finsler metrics and J-holomorphic embedding of asymptotic cylinders | en |
dc.type | Journal Article | en |
dc.identifier.doi | 10.1007/s10455-008-9111-2 | en |
dc.subject.keywords | Real and Complex Functions (incl Several Variables) | en |
local.contributor.firstname | Adam | en |
local.contributor.firstname | Gabriel P | en |
local.subject.for2008 | 010111 Real and Complex Functions (incl Several Variables) | en |
local.subject.seo2008 | 970101 Expanding Knowledge in the Mathematical Sciences | en |
local.profile.school | School of Science and Technology | en |
local.profile.email | aharris5@une.edu.au | en |
local.output.category | C1 | en |
local.record.place | au | en |
local.record.institution | University of New England | en |
local.identifier.epublicationsrecord | pes:6792 | en |
local.publisher.place | Netherlands | en |
local.format.startpage | 115 | en |
local.format.endpage | 134 | en |
local.identifier.scopusid | 48349101061 | en |
local.peerreviewed | Yes | en |
local.identifier.volume | 34 | en |
local.identifier.issue | 2 | en |
local.contributor.lastname | Harris | en |
local.contributor.lastname | Paternain | en |
dc.identifier.staff | une-id:aharris5 | en |
local.profile.orcid | 0000-0002-1259-1122 | en |
local.profile.role | author | en |
local.profile.role | author | en |
local.identifier.unepublicationid | une:2997 | en |
dc.identifier.academiclevel | Academic | en |
local.title.maintitle | Dynamically convex Finsler metrics and J-holomorphic embedding of asymptotic cylinders | en |
local.output.categorydescription | C1 Refereed Article in a Scholarly Journal | en |
local.search.author | Harris, Adam | en |
local.search.author | Paternain, Gabriel P | en |
local.uneassociation | Unknown | en |
local.identifier.wosid | 000258535500002 | en |
local.year.published | 2008 | en |
Appears in Collections: | Journal Article |
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