FOCAL SURFACES OF WAVE FRONTS IN THE EUCLIDEAN 3-SPACE

DOI10.1017/S0017089518000277zbMath1429.57028arXiv1804.06123WikidataQ129516492 ScholiaQ129516492MaRDI QIDQ5235136

Keisuke Teramoto

Publication date: 7 October 2019

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.06123

zbMATH Keywords

singular pointGauss mapwave frontcuspidal edgenon-degenerate singular point$\mathcal{A}$-equivalence of map germsfocal surfaces of wave frontsgeometric invariants of wave fronts

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Singularities of differentiable mappings in differential topology (57R45) Differential invariants (local theory), geometric objects (53A55)

Related Items

Behavior of principal curvatures of frontals near non-front singular points and their applications, Singularities of Gauss maps of wave fronts with non-degenerate singular points, Surfaces of revolution of frontals in the Euclidean space, Singularities of Gauss maps of frontal surfaces with non-front singular points, Extendibility and boundedness of invariants on singularities of wavefronts, Focal surfaces of fronts associated to unbounded principal curvatures, Caustics of pseudo-spherical surfaces in the Euclidean 3-space, On Gaussian curvatures and singularities of Gauss maps of cuspidal edges, Dualities of differential geometric invariants on cuspidal edges on flat fronts in the hyperbolic space and the De Sitter space

Uses Software

• SingSurf

Cites Work

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