On locally conformally cosymplectic Hamiltonian dynamics and Hamilton–Jacobi theory

DOI10.1088/1751-8121/acafb2OpenAlexW4313527969MaRDI QIDQ5879084

Manuel de León, Begüm Ateşli, Oğul Esen, Cristina Sardón

Publication date: 24 February 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.13329

zbMATH Keywords

Hamiltonian dynamicsgeometric Hamilton Jacobi theorylocally conformally cosymplectic

Mathematics Subject Classification ID

Differential geometry (53-XX) Relativity and gravitational theory (83-XX)

Cites Work

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• Cosymplectic and \(\alpha\)-cosymplectic Lie algebras
• Darboux-Weinstein theorem for locally conformally symplectic manifolds
• Lagrangian submanifolds and the Hamilton-Jacobi equation
• Dynamics on Leibniz manifolds
• Linear almost Poisson structures and Hamilton-Jacobi equation. Applications to nonholonomic mechanics
• Hamiltonian structures and generating families
• \(k\)-cosymplectic classical field theories: Tulczyjew and skinner-rusk formulations
• Some properties of locally conformal symplectic structures
• Le théorème de réduction de Marsden-Weinstein en géométrie cosymplectique et de contact. (The Marsden-Weinstein reduction theorem in cosymplectic and contact geometry)
• Géométrie des algèbres de Lie locales de Kirillov
• Locally conformal symplectic manifolds
• On the group of diffeomorphisms preserving a locally conformal symplectic structure
• Poisson geometry
• Reduction of symplectic manifolds with symmetry
• Les variétés de Poisson et leurs algèbres de Lie associees
• Les variétés de Jacobi et leurs algèbres de Lie associees
• Lectures on the geometry of Poisson manifolds
• The Schouten-Nijenhuis bracket and interior products
• Locally conformally symplectic and Kähler geometry
• WZW-Poisson manifolds
• On the computation of the Lichnerowicz--Jacobi cohomology.
• Locally conformal Dirac structures and infinitesimal automorphisms
• The constraint algorithm in the jet formalism
• Jacobi sigma models
• Cauchy data space and multisymplectic formulation of conformal classical field theories
• Locally conformally symplectic reduction of the cotangent bundle
• The globalization problem of the Hamilton-DeDonder-Weyl equations on a local \(k\)-symplectic framework
• Conformal symplectic geometry of cotangent bundles
• Gauge transformations, twisted Poisson brackets and Hamiltonization of nonholonomic systems
• Holomorphic Jacobi manifolds and holomorphic contact groupoids
• Locally conformally symplectic reduction
• Nonholonomic Hamilton-Jacobi equation and integrability
• On contact structures of real and complex manifolds
• Vector bundle valued differential forms on \(\mathbb{N}Q\)-manifolds
• Gauged sigma-models with nonclosed 3-form and twisted Jacobi structures
• The Lie Algebra Structure of Degenerate Hamiltonian and Bi-Hamiltonian Systems
• A SURVEY ON COSYMPLECTIC GEOMETRY
• HAMILTON–JACOBI THEORY IN k-COSYMPLECTIC FIELD THEORIES
• Reduction of symplectic principal $\mathbb R$-bundles
• Methods of Differential Geometry in Classical Field Theories
• Time-dependent mechanics and Lagrangian submanifolds of presymplectic and Poisson manifolds
• HAMILTON–JACOBI THEORY IN k-SYMPLECTIC FIELD THEORIES
• GEOMETRIC HAMILTON–JACOBI THEORY
• Gradient vector fields on cosymplectic manifolds
• Constrained time-dependent Lagrangian systems and Lagrangian submanifolds
• Hamiltonian systems on k-cosymplectic manifolds
• Reduction of Jacobi manifolds
• Cosymplectic reduction for singular momentum maps
• H-Chevalley-Eilenberg cohomology of a Jacobi manifold and Jacobi-Chern class
• On the geometric quantization of Jacobi manifolds
• On almost-Poisson structures in nonholonomic mechanics: II. The time-dependent framework
• A Hamilton–Jacobi theory for implicit differential systems
• A Hamilton–Jacobi formalism for higher order implicit Lagrangians
• Cosymplectic and contact structures for time-dependent and dissipative Hamiltonian systems
• Hamiltonian vector fields on almost symplectic manifolds
• Dirac structures and generalized complex structures on
• Twisted Jacobi manifolds, twisted Dirac–Jacobi structures and quasi-Jacobi bialgebroids
• A Kind of Even-Dimensional Differential Geometry and Its Application to Exterior Calculus
• Sur les structures presque complexes et autres structures infinitésimales régulières
• Hamilton–Jacobi formalism on locally conformally symplectic manifolds
• Reviewing the geometric Hamilton–Jacobi theory concerning Jacobi and Leibniz identities
• Reduction for locally conformal symplectic manifolds
• New contributions to the Hamiltonian and Lagrangian contact formalisms for dissipative mechanical systems and their symmetries