On locally conformally cosymplectic Hamiltonian dynamics and Hamilton-Jacobi theory

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dc.contributor.authorAtesli, Begum
dc.contributor.authorEsen, Ogul
dc.contributor.authorde Leon, Manuel
dc.contributor.authorSardon, Cristina
dc.date.accessioned2025-10-29T11:16:26Z
dc.date.issued2023
dc.departmentFakülteler, Temel Bilimler Fakültesi, Matematik Bölümü
dc.description.abstractCosymplectic geometry has been proven to be a very useful geometric background to describe time-dependent Hamiltonian dynamics. In this work, we address the globalization problem of locally cosymplectic Hamiltonian dynamics that failed to be globally defined. We investigate both the geometry of locally conformally cosymplectic (LCC) manifolds and the Hamiltonian dynamics constructed on such LCC manifolds. Further, we provide a geometric Hamilton-Jacobi theory on this geometric framework.
dc.description.sponsorshipSpanish Ministry of Science and Innovation (MICINN) [PID2019-106715GB-C21]
dc.description.sponsorshipSevero Ochoa Programme for Centres of Excellence in RD [CEX2019-000904-S]
dc.description.sponsorship`Teoria de aproximacion constructiva y aplicaciones' (TACA-ETSII)
dc.description.sponsorshipB A and O E gratefully acknowledge Prof. Serkan Sutlu for discussions on Lie algebroids. Manuel de Leon acknowledges financial support from the Spanish Ministry of Science and Innovation (MICINN), under Grants PID2019-106715GB-C21 and `Severo Ochoa Programme for Centres of Excellence in R&D' (CEX2019-000904-S). C S acknowledges project `Teoria de aproximacion constructiva y aplicaciones' (TACA-ETSII).
dc.identifier.doi10.1088/1751-8121/acafb2
dc.identifier.issn1751-8113
dc.identifier.issn1751-8121
dc.identifier.issue1
dc.identifier.orcid0000-0002-8028-2348
dc.identifier.scopus2-s2.0-85147154734
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1088/1751-8121/acafb2
dc.identifier.urihttps://hdl.handle.net/20.500.14854/7595
dc.identifier.volume56
dc.identifier.wosWOS:000928379200001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherIop Publishing Ltd
dc.relation.ispartofJournal of Physics A-Mathematical and Theoretical
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20251020
dc.subjectlocally conformally cosymplectic
dc.subjectgeometric Hamilton Jacobi theory
dc.subjectHamiltonian dynamics
dc.titleOn locally conformally cosymplectic Hamiltonian dynamics and Hamilton-Jacobi theory
dc.typeArticle

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