Geodesic
Integrable systems and the topology of isospectral manifolds
Teoretičeskaâ i matematičeskaâ fizika, Tome 155 (2008) no. 1, pp. 140-146

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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.
Keywords: integrable system, isospectral manifold
Mots-clés : Volterra system. 
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     author = {A. V. Penskoi},
     title = {Integrable systems and the topology of isospectral manifolds},
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A. V. Penskoi. Integrable systems and the topology of isospectral manifolds. Teoretičeskaâ i matematičeskaâ fizika, Tome 155 (2008) no. 1, pp. 140-146. http://geodesic.mathdoc.fr/item/TMF_2008_155_1_a11/