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math-ph2024
A geometric description of some thermodynamical systems
Manuel de León, Jaime Bajo
In this paper we show how almost cosymplectic structures are a natural framework to study thermodynamical systems. Indeed, we are able to obtain the same evolution equations obtain…
math-ph2024★ 2 cited
Graded Poisson and Graded Dirac structures
Manuel de León, Rubén Izquierdo-López
There have been several attempts in recent years to extend the notions of symplectic and Poisson structures in order to create a suitable geometrical framework for classical field…
math.SG2024★ 2 cited
Coisotropic reduction in Multisymplectic Geometry
Manuel de León, Rubén Izquierdo-López
In this paper we study coisotropic reduction in multisymplectic geometry. On the one hand, we give an interpretation of Hamiltonian multivector fields as Lagrangian submanifolds an…