Principal curvatures and parallel surfaces of wave fronts

DOI10.1515/advgeom-2018-0038zbMath1439.57051arXiv1612.00577OpenAlexW3103093275WikidataQ127243573 ScholiaQ127243573MaRDI QIDQ2334551

Keisuke Teramoto

Publication date: 7 November 2019

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.00577

zbMATH Keywords

singularitywave frontprincipal curvatureparallel surfaceextended distance squared function

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Singularities of differentiable mappings in differential topology (57R45) Critical points of functions and mappings on manifolds (58K05)

Related Items (14)

Behavior of principal curvatures of frontals near non-front singular points and their applications ⋮ Ribaucour transformations and their singularities ⋮ Singularities of Gauss maps of wave fronts with non-degenerate singular points ⋮ Axial curvatures for corank 1 singular \(n\)-manifolds in \(\mathbb{R}^{n+k}\) ⋮ 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 ⋮ Geometry of bifurcation sets of generic unfoldings of corank two functions ⋮ On Gaussian curvatures and singularities of Gauss maps of cuspidal edges ⋮ Isometric deformations of wave fronts at non-degenerate singular points ⋮ Dualities of differential geometric invariants on cuspidal edges on flat fronts in the hyperbolic space and the De Sitter space ⋮ FOCAL SURFACES OF WAVE FRONTS IN THE EUCLIDEAN 3-SPACE ⋮ The axial curvature for corank 1 singular surfaces

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