Methods of Differential Geometry in Classical Field Theories: k-symplectic and k-cosymplectic approaches

Abstract

This book is devoted to review two of the most relevant approaches to the study of classical field theories of first order, say k-symplectic and k-cosymplectic. In the last part, we relate the k-symplectic and k-cosymplectic manifolds with the multisymplectic theory.

Cited by in corpus (5)

• Covariant canonical formulations of classical field theories
• Ehrenfest Theorem in Precanonical Quantization
• Curved space-times by crystallization of liquid fiber bundles
• A connection between the classical r-matrix formalism and covariant Hamiltonian field theory
• Clifford Algebraic approach to the De Donder-Weyl Hamiltonian theory