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26 April 2024

» arxiv » math-ph/0412004

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Gunther's formalism (k-symplectic formalism) in classical field theory: Skinner-Rusk approach and the evolution operator
Angel M. Rey ; Narciso Román-Roy ; Modesto Salgado ;
Date:	1 Dec 2004
Journal:	J.Math.Phys. 46 (2005) 052901
Subject:	Mathematical Physics MSC-class: 70S05, 53D05, 53Z05 \| math-ph math.MP
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).
Source:	arXiv, math-ph/0412004
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