On the geometry of simple germs of co-rank 1 maps from ℝ3 to ℝ3

DOI10.1017/S030500410007434XzbMath1005.57501MaRDI QIDQ4877675

Farid Tari, Washington Luiz Marar

Publication date: 1 July 1996

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Differentiable mappings in differential topology (57R35) Differentiable maps on manifolds (58C25)

Related Items (13)

Counting signed swallowtails of polynomial selfmaps of \(\mathbb R^3\) ⋮ New techniques for classification of multigerms ⋮ Singularities of 3-parameter line congruences in ⋮ Simplicity of augmentations of codimension 1 germs and by Morse functions ⋮ First-order local invariants of stable maps from 3-manifolds to \(\mathbb R^{3}\) ⋮ Equidistants for families of surfaces ⋮ Construcción de aplicaciones estables de $3$-variedades en $\mathbb{R}^3$ ⋮ Singularities of frontal surfaces ⋮ Classifying codimension two multigerms ⋮ Invariants of stable maps from the 3-sphere to the Euclidean 3-space ⋮ Volume preserving subgroups of \({\mathcal A}\) and \({\mathcal K}\) and singularities in unimodular geometry ⋮ Topological classification of corank 1 map germs from \(\mathbb R^3\) to \(\mathbb R^3\) ⋮ Grafos pesados y aplicaciones estables de 3-variedades en R3

Cites Work

• Some remarks on the geometry and classification of germs of maps from surfaces to 3-space
• On the determinacy of smooth map-germs
• \(\mathcal A\)-codimension and the vanishing topology of discriminants
• Normal forms for functions near degenerate critical points, the Weyl groups of A\(_k\), D\(_k\), E\(_k\) and lagrangian singularities
• Multiple Point Schemes for Corank 1 Maps
• A Classification of 1-Parameter Families of Map Germs R³ , 0 → R³ , 0 with Applications to Condensation Problems
• On the Classification of Germs of Maps from R² to R³
• SINGULARITIES OF THE TANGENT DEVELOPABLE SURFACE OF A SPACE CURVE
• Wave front evolution and equivariant Morse lemma
• Familles De Surfaces Differentiables

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