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NijenhuisG-manifolds and Lenard bicomplexes: A new approach to KP systems

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Abstract

We suggest a method to extend the theory of recursion operators to integrable Hamiltonian systems in two-space dimensions, like KP systems. The approach aims to stress the conceptual unity of the theories in one and two space dimensions. A sound explanation of the appearance of bilocal operators is also given.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Milano, Via C. Saldini 50, I-20133, Milano, Italy

    F. Magri

  2. Dipartimento di Matematica, Università di Perugia, Via Vanvitelli, I-06100, Perugia, Italy

    C. Morosi

  3. Dottorato in Matematica, Università di Milano, Via C. Saldini 50, I-20133, Milano, Italy

    G. Tondo

Authors
  1. F. Magri
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  2. C. Morosi
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  3. G. Tondo
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Additional information

Communicated by A. Jaffe

Work supported in part by the Italian Ministry of Public Education and by the G.N.F.M. of the Italian C.N.R.

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Magri, F., Morosi, C. & Tondo, G. NijenhuisG-manifolds and Lenard bicomplexes: A new approach to KP systems. Commun.Math. Phys. 115, 457–475 (1988). https://doi.org/10.1007/BF01218020

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  • DOI: https://doi.org/10.1007/BF01218020

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