Equivalence of glancing hypersurfaces. II

DOI10.1007/BF01450669zbMath0472.53045OpenAlexW3046978057MaRDI QIDQ1157793

Richard B. Melrose

Publication date: 1981

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

Full work available at URL: https://eudml.org/doc/182832

zbMATH Keywords

symplectic manifoldcontact transformationgerms of mapsHamilton foliation

Mathematics Subject Classification ID

Global submanifolds (53C40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items

The wave equation for a hypoelliptic operator with symplectic characteristics of codimension two, On curves with the Poritsky property, Quantum ergodic restriction theorems: manifolds without boundary, Divergence for the normalization of real analytic glancinghypersurfaces, Nonlocal inversion formulas for the X-ray transform, Symplectic, Poisson, and contact geometry on scattering manifolds, The radiation pattern of a diffracted wavenear the shadow boundary, Composition of some singular Fourier integral operators and estimates for restricted X-ray transforms, Forward scattering by a convex obstacle, Pseudo-Riemannian geodesics and billiards, Sections of Hamiltonian systems, Singularities in variational calculus, Canonical relations defined by intersecting hypersurfaces in a symplectic manifold, Billiards in Finsler and Minkowski geometries, Near peak scattering and the corrected Kirchhoff approximation for a convex obstacle

Cites Work

• Equivalence of glancing hyper-surfaces
• On a certain class of Fuchsian partial differential equations
• The propagation of singularities along gliding rays
• Sur les singularités des formes différentielles
• Decay of solutions of the wave equation outside nontrapping obstacles
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