Sphere stratifications and the Gauss map

DOI10.1017/S0308210500015821zbMath0526.58008OpenAlexW2140022469MaRDI QIDQ3040166

María Carmen Romero Fuster

Publication date: 1983

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500015821

zbMATH Keywords

Euler numberversal unfoldingcore stratificationGauss stratificationMaxwell subset

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Characteristic classes and numbers in differential topology (57R20) Singularities of differentiable mappings in differential topology (57R45) Catastrophe theory (58K35) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Stratified sets (58A35)

Related Items (20)

Singularities of lightcone pedals of spacelike curves in Lorentz-Minkowski 3-space ⋮ On the coexistence of corank 1 multisingularities of a stable smooth mapping of equidimensional manifolds ⋮ The geometry of surfaces in 4-space from a contact viewpoint ⋮ Legendrian dual surfaces of a spacelike curve in the 3-dimensional lightcone ⋮ Lightcone dualities for hypersurfaces in the sphere ⋮ Realization of graphs by fold Gauss maps ⋮ Stable Plane-Gauss Maps on Closed Orientable Surfaces ⋮ Stable Gauss maps from a global viewpoint ⋮ Graphs with Weight of Fold Gauss Maps ⋮ Lightcone dualities for curves in the lightcone unit 3-sphere ⋮ Coherent tangent bundles and Gauss-Bonnet formulas for wave fronts ⋮ Singularities of Anti de Sitter torus Gauss maps ⋮ Great circular surfaces in the three-sphere ⋮ The topology of corank 1 multi-singularities of stable smooth mappings of equidimensional manifolds ⋮ Corank 1 singularities of stable smooth maps and special tangent hyperplanes to a space curve ⋮ Inflection points and topology of surfaces in 4-space ⋮ Generic geometry of stable maps of 3-manifolds into \(\mathbb{R}^4\) ⋮ Geometric contacts of surfaces immersed in \(\mathbb R^n,n\geqslant 5\) ⋮ Singularities of lightcone Gauss images of spacelike hypersurfaces in de Sitter space ⋮ Asymptotic lines on real Milnor links of a family that realizes any genus

Cites Work

• Sur le cut-locus d'une variété plongee
• The duals of generic hypersurfaces.
• CRITICAL POINTS OF SMOOTH FUNCTIONS AND THEIR NORMAL FORMS
• The Dual of a Height Function

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