Tulczyjew's triplet for Lie groups III : higher order dynamics and reductions for iterated bundles

Basit Öğe Kaydı
dc.authorid0000-0002-6766-0287
dc.authorid0000-0001-9793-9062
dc.authorid0000-0003-0925-8668
dc.contributor.authorEsen, Oğulen_US
dc.contributor.authorGümral, Hasanen_US
dc.contributor.authorSütlü, Serkanen_US
dc.date.accessioned2025-10-07T08:26:42Z
dc.date.available2025-10-07T08:26:42Z
dc.date.issued2021-02-23
dc.departmentIşık Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Engineering and Natural Sciences, Department of Mathematicsen_US
dc.description.abstractGiven a Lie group G, we elaborate the dynamics on T*T*G and T*T G, which is given by a Hamiltonian, as well as the dynamics on the Tulczyjew symplectic space TT*G, which may be defined by a Lagrangian or a Hamiltonian function. As the trivializations we adapted respect the group structures of the iterated bundles, we exploit all possible subgroup reductions (Poisson, symplectic or both) of higher order dynamics.en_US
dc.description.versionPreprint's Versionen_US
dc.identifier.citationEsen, O., Gümral, H. & Sütlü, S. (2021). Tulczyjew's triplet for Lie groups III : higher order dynamics and reductions for iterated bundles. Arxiv, 1-33. doi: https://doi.org/10.48550/arXiv.2102.10807en_US
dc.identifier.endpage33
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/11729/6750
dc.identifier.urihttps://doi.org/10.48550/arXiv.2102.10807
dc.identifier.wosPPRN:12081070
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakPreprint Citation Indexen_US
dc.institutionauthorSütlü, Serkanen_US
dc.institutionauthorid0000-0003-0925-8668
dc.language.isoenen_US
dc.publisherCornell Univen_US
dc.relation.ispartofArxiven_US
dc.relation.publicationcategoryÖn Baskı – Uluslararası – Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectEuler-Poincaré equationsen_US
dc.subjectLie-Poisson equationsen_US
dc.subjectHigher order dynamics on Lie groupsen_US
dc.titleTulczyjew's triplet for Lie groups III : higher order dynamics and reductions for iterated bundlesen_US
dc.typePreprinten_US
dspace.entity.typePublicationen_US

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim
İsim:
Tulczyjew_Triplet_for_Lie_Groups_3_Higher_Order_Dynamics_and_Reductions_for_Iterated_Bundles.pdf
Boyut:
406.74 KB
Biçim:
Adobe Portable Document Format
İndir
Lisans paketi
Listeleniyor 1 - 1 / 1
Küçük Resim Yok
İsim:
license.txt
Boyut:
1.17 KB
Biçim:
Item-specific license agreed upon to submission
Açıklama:
İndir

Koleksiyon

Makale Koleksiyonu | Matematik Bölümü
WoS İndeksli Yayınlar Koleksiyonu