Criteria for cuspidal S_k singularities and their applications

zbMath1267.58023arXiv0905.2357MaRDI QIDQ5301038

Kentaro Saji

Publication date: 1 July 2013

Full work available at URL: https://arxiv.org/abs/0905.2357

zbMATH Keywords

singularitieswave frontcriteriamond singularity

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Singularities of differentiable mappings in differential topology (57R45) Classification; finite determinacy of map germs (58K40)

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Behavior of principal curvatures of frontals near non-front singular points and their applications ⋮ Legendrian dual surfaces in hyperbolic 3-space ⋮ Gauss maps on canal hypersurfaces of generic curves in \(\mathbb{R}^4\) ⋮ The fundamental theorem for singular surfaces with limiting tangent planes ⋮ Singularities of Gauss maps of frontal surfaces with non-front singular points ⋮ Caustics of pseudo-spherical surfaces in the Euclidean 3-space ⋮ On the geometry of folded cuspidal edges ⋮ Cross-ratio invariants for surfaces in 4-space ⋮ On geometry of the midlocus associated to a smooth curve in plane and space ⋮ Singularities of translation surfaces in the Euclidean 3-space

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