Singularities of envelopes of families of submanifolds in $\mathbb{R}^N$

DOI10.24033/asens.1445zbMath0525.58008OpenAlexW2602947220MaRDI QIDQ3038233

Mario Jorge Dias Carneiro

Publication date: 1983

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1983_4_16_2_173_0

zbMATH Keywords

weak equivalencefold singularitygeneric germsdiagram of map germright-left stablestability of diagrams of mappings

Mathematics Subject Classification ID

Jets in global analysis (58A20) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Differential geometry of webs (53A60)

Related Items (5)

Holonomic systems of Clairaut type ⋮ Topological stability theorem for composite mappings ⋮ Modules pour les familles de courbes planes. (Moduli for the families of plane curves) ⋮ Envelopes of one-parameter families of framed curves in the Euclidean space ⋮ Webs and singularities

Cites Work

• Local \(C^n\) transformations of the real line
• Sur la théorie des enveloppes
• Fonctions composees différentiables
• Abel's theorem and webs
• Stability of \(C^ \infty\) mappings. III: Finitely determined map germs
• Stability of \(C^\infty\) mappings. II: Infinitesimal stability implies stability
• Wave front evolution and equivariant Morse lemma
• Sur la stabilité des diagrammes d'applications différentiables
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