Geometry and analysis on isospectral sets. I: Riemannian geometry, asymptotic case

DOI10.1016/0393-0440(95)00010-0zbMath0923.58035OpenAlexW2073895201WikidataQ115363070 ScholiaQ115363070MaRDI QIDQ1911155

Paolo Vanini

Publication date: 19 October 1999

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(95)00010-0

zbMATH Keywords

Riemannian structuresisospectral setsinverse Dirichlet problem

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of dynamical systems (37N99) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (1)

Geometry and analysis on isospectral sets. II: Grassmannian, determinant bundle and the tau function, asymptotic case

Cites Work

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• Loop groups and equations of KdV type
• Solvability of the super KP equation and generalized of the Birkhoff decomposition
• Generalization of the inverse scattering problem method
• Cohomological structure in soliton equations and Jacobian varieties
• Korteweg-de Vries equation: a completely integrable Hamiltonian system
• Commuting flows and conservation laws for Lax equations

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