Singular semi-classical approximation on Liouville surfaces

DOI10.1016/J.DIFGEO.2011.04.017zbMath1222.35135OpenAlexW2086704784WikidataQ115356897 ScholiaQ115356897MaRDI QIDQ719829

Kazuyoshi Kiyohara

Publication date: 12 October 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2011.04.017

zbMATH Keywords

Laplaciansemi-classical approximationsingular LagrangianLiouville surface

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Geodesics in global differential geometry (53C22)

Cites Work

• Compact Liouville surfaces
• Noncompact Liouville surfaces
• Singular Bohr-Sommerfeld rules.
• Second-order linear differential equations with two turning points
• Statistical properties of the spectra of Laplace-Beltrami operators on Liouville surfaces
• Two classes of Riemannian manifolds whose geodesic flows are integrable
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