A bumpy metric theorem and the Poisson relation for generic strictly convex domains

DOI10.1007/BF01446922zbMath0713.58005MaRDI QIDQ749937

Latchezar Stoyanov

Publication date: 1990

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164714

zbMATH Keywords

geodesicsbumpy metricgeneric bounded strictly convex domains

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (3)

Quantum ergodic restriction theorems. I: Interior hypersurfaces in domains with ergodic billiards ⋮ Generic properties of geodesic flows on analytic hypersurfaces of Euclidean space ⋮ Generic properties of closed geodesics on smooth hypersurfaces

Cites Work

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• Spectrum of the Poincaré map for periodic reflecting rays in generic domains
• The Poisson summation formula for manifolds with boundary
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• The propagation of singularities along gliding rays
• Formule de Poisson pour les variétés riemanniennes
• Generic properties of geodesic flows
• Periods of Multiple Reflecting Geodesics and Inverse Spectral Results
• On the number of periodic reflecting rays in generic domains
• Differential Topology
• Generic Properties of Conservative Systems II

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