DC FieldValueLanguage
dc.contributor.authorDragović, Vladimiren
dc.contributor.authorJovanović, Božidaren
dc.contributor.authorRadnović, Milenaen
dc.date.accessioned2020-05-16T17:02:18Z-
dc.date.available2020-05-16T17:02:18Z-
dc.date.issued2003-01-01en
dc.identifier.issn0393-0440en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/2681-
dc.description.abstractWe derive Cayley's type conditions for periodical trajectories for the billiard within an ellipsoid in the Lobachevsky space. It appears that these new conditions are of the same form as those obtained before for the Euclidean case. We explain this coincidence by using theory of geodesically equivalent metrics and show that Lobachevsky and Euclidean elliptic billiards can be naturally considered as a part of a hierarchy of integrable elliptical billiards.en
dc.publisherElsevier-
dc.relationSerbian Ministry of Science and Technology, Project 1643 - Geometry and Topology of Manifolds and Integrable Dynamical Systems-
dc.relationGeometry and Topology of Manifolds and Integrable Dynamical Systems-
dc.relation.ispartofJournal of Geometry and Physicsen
dc.subjectCayley's condition | Geodesic hierarchy | Integrable billiards | Poncelet's theorem | Separable perturbation | Spectral curveen
dc.titleOn elliptical billiards in the Lobachevsky space and associated geodesic hierarchiesen
dc.typeArticleen
dc.identifier.doi10.1016/S0393-0440(02)00219-Xen
dc.identifier.scopus2-s2.0-0038307412en
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.relation.firstpage221en
dc.relation.lastpage234en
dc.relation.issue2-3en
dc.relation.volume47en
dc.description.rankM21-
item.fulltextNo Fulltext-
item.openairetypeArticle-
item.grantfulltextnone-
item.cerifentitytypePublications-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.author.orcid0000-0002-0295-4743-
crisitem.author.orcid0000-0002-3393-4323-
crisitem.project.projectURLhttp://www.mi.sanu.ac.rs/projects/1643e.htm-
Show simple item record

SCOPUSTM   
Citations

19
checked on Apr 2, 2025

Page view(s)

23
checked on Jan 31, 2025

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.