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- W2983576278 abstract "In this paper we aim at addressing the globalization problem of Hamilton-DeDonder-Weyl equations on a local $k$-symplectic framework and we introduce the notion of {it locally conformal $k$-symplectic (l.c.k-s.) manifolds}. This formalism describes the dynamical properties of physical systems that locally behave like multi-Hamiltonian systems. Here, we describe the local Hamiltonian properties of such systems, but we also provide a global outlook by introducing the global Lee one-form approach. In particular, the dynamics will be depicted with the aid of the Hamilton--Jacobi equation, which is specifically proposed in a l.c.k-s manifold." @default.
- W2983576278 created "2019-11-22" @default.
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- W2983576278 date "2019-11-14" @default.
- W2983576278 modified "2023-10-16" @default.
- W2983576278 title "The globalization problem of the Hamilton-DeDonder-Weyl equations on a local $k$-symplectic framework" @default.
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