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Contact geometry and wave propagation

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Publication:752483
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zbMath0715.53002MaRDI QIDQ752483

Vladimir I. Arnold

Publication date: 1990

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)


zbMATH Keywords

wave propagationgeneric singularitiesLagrangian submanifoldcontact manifoldsGivental triadsLegendre varieties


Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Pseudogroups and differentiable groupoids (58H05) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Hyperbolic equations and hyperbolic systems (35L99) Geometric optics (78A05)


Related Items

Aubry-Mather theory for contact Hamiltonian systems ⋮ Huygens triviality of the time-independent Schrödinger equation. Applications to atomic and high energy physics ⋮ A brief history of contact geometry and topology.



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