k-cosymplectic formalism in classical field theory: the Skinner–Rusk approach
نویسنده
چکیده
The k-cosymplectic Lagrangian and Hamiltonian formalisms of first-order field theories are reviewed and completed. In particular they are stated for singular almost-regular systems. After that, both formalisms are unified by giving an extension of the Skinner-Rusk formulation on classical mechanics for first-order field theories. M.S. Classification (2000): 70S05, 53D05, 53Z05
منابع مشابه
k-Cosymplectic Classical Field Theories: Tulckzyjew, Skinner-Rusk and Lie algebroid formulations
The k-cosymplectic Lagrangian and Hamiltonian formalisms of first-order field theories are reviewed and completed. In particular, they are stated for singular and almost-regular systems. Subsequently, several alternative formulations for k-cosymplectic first-order field theories are developed: First, generalizing the construction of Tulczyjew for mechanics, we give a new interpretation of the c...
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