Tulczyjew's Triplet for Lie Groups II: Dynamics

Basit Öğe Kaydı
dc.contributor.authorEsen, Ogul
dc.contributor.authorGumral, Hasan
dc.date.accessioned2025-10-29T11:36:39Z
dc.date.issued2017
dc.departmentFakülteler, Temel Bilimler Fakültesi, Matematik Bölümü
dc.description.abstractTaking configuration space as a Lie group, the trivialized Euler-Lagrange and Hamilton's equations are obtained and presented as Lagrangian submanifolds of the trivialized Tulczyjew's symplectic space. Euler-Poincare and Lie-Poisson equations are presented as Lagrangian submanifolds of the reduced Tulczyjew's symplectic space. Tulczyjew's generalized Legendre transformations for trivialized and reduced dynamics are constructed.
dc.identifier.endpage356
dc.identifier.issn0949-5932
dc.identifier.issue2
dc.identifier.orcid0000-0002-6766-0287
dc.identifier.scopus2-s2.0-85008230634
dc.identifier.scopusqualityQ4
dc.identifier.startpage329
dc.identifier.urihttps://hdl.handle.net/20.500.14854/13393
dc.identifier.volume27
dc.identifier.wosWOS:000396598600003
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherHeldermann Verlag
dc.relation.ispartofJournal of Lie Theory
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20251020
dc.subjectTrivialized Euler-Lagrange equations
dc.subjecttrivialized Hamilton's equations
dc.subjectEuler-Poincare equations
dc.subjectLie-Poisson equations
dc.subjectMorse families
dc.subjectTulczyjew's triplet
dc.subjectLegendre transformation
dc.subjectLagrangian submanifold
dc.subjectdiffeomorphisms group
dc.titleTulczyjew's Triplet for Lie Groups II: Dynamics
dc.typeArticle

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu
Temel Bilimler Fakültesi Koleksiyonu