Perestroikas of optical wave fronts and graphlike Legendrian unfoldings

DOI10.4310/jdg/1214454479zbMath0781.57016OpenAlexW1598464115WikidataQ115180063 ScholiaQ115180063MaRDI QIDQ1312136

Shyuichi Izumiya

Publication date: 13 February 1994

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214454479

zbMATH Keywords

Legendrian singularitiesgeneric perestroikasgraphlike Legendrian unfoldingsparallels of given smooth hypersurfaces in Euclidean spaceparallels of hypersurfaces in a Riemannian manifoldperestroikas of wave front setsrealization problem of the perestroikas of Legendrian singularitiesstable perestroikassubmersive generating function

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Singularities of differentiable mappings in differential topology (57R45) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items (8)

Characteristic vector fields for first order partial differential equations ⋮ Spacelike parallels and evolutes in Minkowski pseudo-spheres ⋮ Catacaustics of a hypersurface in the Euclidean \(n\)-space ⋮ Caustics of world hyper-sheets in the Minkowski space-time ⋮ On caustics of submanifolds and canal hypersurfaces in Euclidean space ⋮ Bifurcations of completely integrable 2-variable first-order partial differential equations ⋮ The theory of graph-like Legendrian unfoldings and its applications ⋮ On families of Lagrangian submanifolds

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