Show simple item record

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


File(s) in this item

Thumbnail

This item appears in the following collection(s)

Show simple item record

Attribution 4.0 International (CC BY 4.0)
Except where otherwise noted, this item's license is described as Attribution 4.0 International (CC BY 4.0)