Tulczyjew's triplet with an Ehresmann connection I: Trivialization and reduction

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Esen O., Kudeyt M., Sütlü S.

International Journal of Geometric Methods in Modern Physics, cilt.20, sa.4, 2023 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 20 Sayı: 4
• Basım Tarihi: 2023
• Doi Numarası: 10.1142/s0219887823500597
• Dergi Adı: International Journal of Geometric Methods in Modern Physics
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
• Anahtar Kelimeler: Tulczyjew's triplet, Hamiltonian reduction, Lagrangian reduction, Ehresmann connection, LAGRANGIAN SUBMANIFOLDS, HAMILTONIAN-STRUCTURE, LIE, DYNAMICS, GEOMETRY, POISSON, FORMALISMS, MECHANICS, SYSTEMS, LIFTS
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Kocaeli Üniversitesi Adresli: Hayır

Özet

© 2023 World Scientific Publishing Company.We study the trivialization and the reduction of Tulczyjew's triplet, in the presence of a symmetry and an Ehresmann connection associated to it. We thus establish a geometric pathway for the Legendre transformations on singular dynamical systems.