Envelopes of families of Legendre mappings in the unit tangent bundle over the Euclidean space

DOI10.1016/j.jmaa.2018.12.057zbMath1429.35047OpenAlexW2907252833WikidataQ128669021 ScholiaQ128669021MaRDI QIDQ1733792

Masatomo Takahashi

Publication date: 21 March 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://muroran-it.repo.nii.ac.jp/?action=repository_action_common_download&item_id=9971&item_no=1&attribute_id=24&file_no=1

zbMATH Keywords

singular solutionfamilies of hypersurfaces

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Nonlinear first-order PDEs (35F20) Wave front sets in context of PDEs (35A18)

Related Items (4)

Envelopes of families of framed surfaces and singular solutions of first-order partial differential equations ⋮ Anti-orthotomics of frontals and their applications ⋮ Singularities of singular solutions of first-order differential equations of clairaut type ⋮ Hyperplane families creating envelopes

Uses Software

• CandS

Cites Work

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• Evolutes and involutes of frontals in the Euclidean plane
• Geometric Invariants of Cuspidal Edges
• Evolutes of fronts in the Euclidean plane
• Singular Solutions of First-Order Differential Equations
• Envelopes of legendre curves in the unit spherical bundle over the unit sphere
• Singularities of Frontals

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