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Integrable systems and the topology of isospectral manifolds

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Abstract

We briefly review known results concerning the study of isospectral manifolds using integrable systems. We then describe new results concerning the topology of isospectral manifolds of zero-diagonal Jacobi matrices. This topology is studied using the Volterra system.

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Authors and Affiliations

  1. Independent University of Moscow, Moscow, Russia

    A. V. Penskoi

  2. Bauman Moscow State Technical University, Moscow, Russia

    A. V. Penskoi

Authors
  1. A. V. Penskoi
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Correspondence to A. V. Penskoi.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 155, No. 1, pp. 140–146, April, 2008.

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Penskoi, A.V. Integrable systems and the topology of isospectral manifolds. Theor Math Phys 155, 627–632 (2008). https://doi.org/10.1007/s11232-008-0052-5

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  • DOI: https://doi.org/10.1007/s11232-008-0052-5

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