IMPROVING HAMILTONIAN ENERGY EQUATIONS ON THE KÄHLER JET BUNDLES

DOI10.1142/S0219887812500880zbMath1312.14037OpenAlexW2101774944MaRDI QIDQ4917977

Cansel Aycan, Simge Dagli, Şevket Civelek

Publication date: 3 May 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887812500880

zbMATH Keywords

Kähler manifoldjet bundleHamiltonian mechanical systemcomplex bundleHamiltonian energy equation

Mathematics Subject Classification ID

Local differential geometry of Hermitian and Kählerian structures (53B35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Lagrange's equations (70H03)

Cites Work

• Lagrangian submanifolds and the Euler-Lagrange equations in higher-order mechanics
• Higher order complex Lagrangian and Hamiltonian mechanics systems
• On para-Euler-Lagrange and para-Hamiltonian equations
• On the differential geometry of the Euler-Lagrange equations, and the inverse problem of Lagrangian dynamics

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