Spectra and geodesic flows on nilmanifolds: Reductions of Hamiltonian systems and differential operators

DOI10.2969/JMSJ/04610119zbMath0808.58033OpenAlexW2021436500MaRDI QIDQ1335548

Ruishi Kuwabara

Publication date: 16 October 1994

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/04610119

zbMATH Keywords

dynamical systemsspectrumHamiltonian systemsgeodesic flowisospectral deformationsnilmanifolds

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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Lax-type isospectral deformations on nilmanifolds

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