Singularities of affine equidistants: extrinsic geometry of surfaces in 4-space

DOI10.1007/s00574-016-0208-0zbMath1392.53012arXiv1506.04027OpenAlexW3103742716MaRDI QIDQ2012228

Wojciech Domitrz, Maria Aparecida Soares Ruas, Pedro de M. Rios, Stanisław Janeczko

Publication date: 28 July 2017

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.04027

zbMATH Keywords

singularitiessurfacesWigner causticaffine equidistant

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Surfaces in Euclidean and related spaces (53A05) Critical points of functions and mappings on manifolds (58K05) Stability theory for manifolds (58K25)

Related Items (5)

Singular points of the Wigner caustic and affine equidistants of planar curves ⋮ The Gauss-Bonnet theorem for coherent tangent bundles over surfaces with boundary and its applications ⋮ Isoperimetric equalities for rosettes ⋮ The geometry of the secant caustic of a planar curve ⋮ The geometry of the Wigner caustic and a decomposition of a curve into parallel arcs

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• Semi-classical mechanics in phase space: A study of Wigner’s function
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