WEYL-MECHANICAL SYSTEMS ON TANGENT MANIFOLDS OF CONSTANT W-SECTIONAL CURVATURE

DOI10.1142/S0219887813500539zbMath1283.53071OpenAlexW2086184301MaRDI QIDQ2865241

Zeki Kasap

Publication date: 29 November 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/s0219887813500539

zbMATH Keywords

HamiltonianLagrangianWeyl geometrytangent structure

Mathematics Subject Classification ID

Hamilton's equations (70H05) Applications of global differential geometry to the sciences (53C80) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Dynamical systems in classical and celestial mechanics (37N05) Lagrange's equations (70H03)

Related Items (1)

Weyl-Euler-Lagrange equations of motion on flat manifold

Cites Work

• Higher order complex Lagrangian and Hamiltonian mechanics systems
• A geometrical analysis of the field equations in field theory
• Espaces variationnels et mécanique
• On para-Euler-Lagrange and para-Hamiltonian equations
• Difference Discrete Variational Principles, Euler–Lagrange Cohomology and Symplectic, Multisymplectic Structures I: Difference Discrete Variational Principle
• MECHANICAL SYSTEMS ON GENERALIZED-QUATERNIONIC KÄHLER MANIFOLDS
• Gradient vector fields on cosymplectic manifolds
• Hamiltonian dynamics of extended objects
• On the geometry of non-holonomic Lagrangian systems
• Classical Mechanics

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