Caustics of translation surfaces in Euclidean 3-space

DOI10.22436/jnsa.010.10.16zbMath1412.32020OpenAlexW2765379709MaRDI QIDQ5743199

Jiajing Miao, Jingren Chen, Haiming Liu

Publication date: 9 May 2019

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.10.16

zbMATH Keywords

causticssingularity theorytranslation surface

Mathematics Subject Classification ID

Complex surface and hypersurface singularities (32S25) Non-Euclidean differential geometry (53A35)

Related Items (1)

Catacaustics of a hypersurface in the Euclidean \(n\)-space

Cites Work

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• Minimal translation surfaces in Sol\(_{3}\)
• Translation surfaces with constant mean curvature in 3-dimensional spaces
• Singularities of parallel surfaces
• On the Gauss map of translation surfaces in Minkowski 3-space
• Translation surfaces in the 3-dimensional space satisfying \(\Delta ^{III} r_{i} = \mu _{i} r_{i}\)
• Affine translation surfaces in Euclidean 3-space
• The theory of caustics and wave front singularities with physical applications
• Caustics of wavefronts in general relativity
• On spacelike curves in hyperbolic space times sphere
• Symplectic geometry and topology
• The mathematical physics of rainbows and glories

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