k-SYMPLECTIC AND k-COSYMPLECTIC LAGRANGIAN FIELD THEORIES: SOME INTERESTING EXAMPLES AND APPLICATIONS

Author:

MUÑOZ-LECANDA MIGUEL C.1,SALGADO MODESTO2,VILARIÑO SILVIA2

Affiliation:

1. Departamento de Matemática Aplicada IV, Edificio C-3, Campus Norte UPC, C/Jordi Girona 1, 08034 Barcelona, Spain

2. Departamento de Xeometría e Topoloxía, Facultad de Matemáticas, Campus Sur USC, C/Lope Gómez de Marzoa, s/n. 15782 Santiago de Compostela, Spain

Abstract

In this paper, we present a geometric version of several examples of partial differential equations which appear in field theories. These examples are described using the k-symplectic and k-cosymplectic Lagrangian formalism.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The Herglotz variational principle for dissipative field theories;Geometric Mechanics;2024-06

2. On k-polycosymplectic Marsden–Weinstein reductions;Journal of Geometry and Physics;2023-09

3. Newton's second law in field theory;Differential Geometry and its Applications;2021-12

4. A SURVEY ON COSYMPLECTIC GEOMETRY;Reviews in Mathematical Physics;2013-11

5. $$k$$ -Symplectic Pontryagin’s Maximum Principle for some families of PDEs;Calculus of Variations and Partial Differential Equations;2013-04-05

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