dc.contributor.author | Hwang, Jun-Muk | |
dc.contributor.author | The, Dennis | |
dc.date.accessioned | 2025-06-10T07:02:08Z | |
dc.date.available | 2025-06-10T07:02:08Z | |
dc.date.issued | 2025-04-30 | |
dc.description.abstract | We 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.citation | Hwang, The. Symmetries of (2, 3, 5)-distributions and associated Legendrian cone structures. Annals of Global Analysis and Geometry. 2025;67 | en_US |
dc.identifier.cristinID | FRIDAID 2385553 | |
dc.identifier.doi | 10.1007/s10455-025-09992-1 | |
dc.identifier.issn | 0232-704X | |
dc.identifier.issn | 1572-9060 | |
dc.identifier.uri | https://hdl.handle.net/10037/37190 | |
dc.language.iso | eng | en_US |
dc.publisher | Springer Nature | en_US |
dc.relation.journal | Annals of Global Analysis and Geometry | |
dc.rights.accessRights | openAccess | en_US |
dc.rights.holder | Copyright 2025 The Author(s) | en_US |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0 | en_US |
dc.rights | Attribution 4.0 International (CC BY 4.0) | en_US |
dc.title | Symmetries of (2, 3, 5)-distributions and associated Legendrian cone structures | en_US |
dc.type.version | publishedVersion | en_US |
dc.type | Journal article | en_US |
dc.type | Tidsskriftartikkel | en_US |
dc.type | Peer reviewed | en_US |