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On Lax equations arising from Lagrangian foliations

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Abstract

It is shown that Lax equations associated with dynamical systems on T *Qof the same dimension as Q arise as local expressions of parallelism of a (1,1)-tensor field along the dynamical vector field Γ if the partial connection defined by the symplectic form Ω admissible for a Lagrangian foliation is considered.

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Authors and Affiliations

  1. Departamento de Física Teórica, Facultad de Ciencias, Universidad de Zaragoza, Zaragoza, Spain

    José F. Carinena & Luis A. Ibort

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  1. José F. Carinena
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  2. Luis A. Ibort
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Carinena, J.F., Ibort, L.A. On Lax equations arising from Lagrangian foliations. Lett Math Phys 8, 21–26 (1984). https://doi.org/10.1007/BF00420037

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  • DOI: https://doi.org/10.1007/BF00420037

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