Gunther's formalism (k-symplectic formalism) in classical field theory: Skinner-Rusk approach and the evolution operator

Abstract

The first aim of this paper is to extend the Skinner-Rusk formalism on classical mechanics for first-order field theories. The second is to generalize the definition and properties of the evolution K-operator on classical mechanics for first-order field theories using in both cases Gunther's formalism (k-symplectic formalism).

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