Gauss maps on canal hypersurfaces of generic curves in \(\mathbb{R}^4\)

DOI10.1016/j.difgeo.2021.101816zbMath1481.53012OpenAlexW3204758649WikidataQ114190898 ScholiaQ114190898MaRDI QIDQ2665768

M. C. Zanardo, Ana Claudia Nabarro, María Carmen Romero Fuster

Publication date: 19 November 2021

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2021.101816

zbMATH Keywords

Gauss mapscanal hypersurfacesparabolic surfacescurves in \(\mathbb{R}^4\)geometrical characterizations for local singularities

Mathematics Subject Classification ID

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

Related Items (1)

On (contra)pedals and (anti)orthotomics of frontals in de Sitter 2‐space

Cites Work

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• 3-manifolds in Euclidean space from a contact viewpoint
• Convexly generic curves in \(\mathbb{R}^3\)
• Parametrized Legendre and Lagrange varieties
• The geometry of surfaces in 4-space from a contact viewpoint
• Envelope singularities of families of planes in control theory
• The geometry of fronts
• Infinitesimal deformations and stability of singular Legrendre submanifolds
• Differential Geometry from a Singularity Theory Viewpoint
• DUALITY AND CONTACT OF HYPERSURFACES IN $\mathbb{R}^4$ WITH HYPERPLANES AND LINES
• Inflection points and topology of surfaces in 4-space
• Recognition Problem of Frontal Singularities
• Singularities of Frontals
• Criteria for cuspidal S_k singularities and their applications

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