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dc.contributor.authorHwang, Jun-Muk
dc.contributor.authorThe, Dennis
dc.date.accessioned2025-06-10T07:02:08Z
dc.date.available2025-06-10T07:02:08Z
dc.date.issued2025-04-30
dc.description.abstractWe exploit a natural correspondence between holomorphic (2, 3, 5)-distributions and nondegenerate lines on holomorphic contact manifolds of dimension 5 to present a new perspective in the study of symmetries of (2, 3, 5)-distributions. This leads to a number of new results in this classical subject, including an unexpected relation between the multiply-transitive families of models having 7- and 6-dimensional symmetries, and a one-to-one correspondence between equivalence classes of nontransitive (2, 3, 5)-distributions with 6-dimensional symmetries and nonhomogeneous nondegenerate Legendrian curves in . An ingredient for establishing the former is an explicit classification of homogeneous nondegenerate Legendrian curves in , which we present. Moreover, our approach gives a new perspective on exceptionality of the 3 : 1 ratio for two 2-spheres rolling on each other without twisting or slipping.en_US
dc.identifier.citationHwang, The. Symmetries of (2, 3, 5)-distributions and associated Legendrian cone structures. Annals of Global Analysis and Geometry. 2025;67en_US
dc.identifier.cristinIDFRIDAID 2385553
dc.identifier.doi10.1007/s10455-025-09992-1
dc.identifier.issn0232-704X
dc.identifier.issn1572-9060
dc.identifier.urihttps://hdl.handle.net/10037/37190
dc.language.isoengen_US
dc.publisherSpringer Natureen_US
dc.relation.journalAnnals of Global Analysis and Geometry
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright 2025 The Author(s)en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0en_US
dc.rightsAttribution 4.0 International (CC BY 4.0)en_US
dc.titleSymmetries of (2, 3, 5)-distributions and associated Legendrian cone structuresen_US
dc.type.versionpublishedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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Attribution 4.0 International (CC BY 4.0)
Med mindre det står noe annet, er denne innførselens lisens beskrevet som Attribution 4.0 International (CC BY 4.0)