Constraint algorithm for singular field theories in the k-cosymplectic framework
PublisherAmerican Institute of Mathematical Sciences
Rights accessOpen Access
The aim of this paper is to develop a constraint algorithm for singular classical field theories in the framework of k-cosymplectic geometry. Since these field theories are singular, we need to introduce the notion of k-precosymplectic structure, which is a generalization of the k-cosymplectic structure. Next k-precosymplectic Hamiltonian systems are introduced in or- der to describe singular field theories, both in Lagrangian and Hamiltonian formalisms. Finally, we develop a constraint algorithm in order to find a sub- manifold where the existence of solutions of the field equations is ensured. The case of affine Lagrangians is studied as a relevant example.
CitationGràcia, X.; Rivas, X.; Roman-Roy, N. Constraint algorithm for singular field theories in the k-cosymplectic framework. "Journal of Geometric Mechanics", 15 Març 2020, vol. 12, núm. 1, p. 1-23.
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