FAMILIES OF SURFACES IN ℝ4

DOI10.1017/S0013091500000213zbMath1027.58029OpenAlexW2056529348MaRDI QIDQ4784799

Farid Tari, J. W. Bruce

Publication date: 11 December 2002

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

Full work available at URL: https://doi.org/10.1017/s0013091500000213

zbMATH Keywords

bifurcationintegral curveSingularityparabolic set

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Global theory of singularities (58K30)

Related Items (13)

The flat geometry of the I_1 singularity: (x,y) -> (x,xy,y^2,y^3) ⋮ Geometric invariants of surfaces in \(\mathbb R^4\). ⋮ Self-conjugate vectors of immersed 3-manifolds in \(\mathbb{R}^6\) ⋮ Geometry of curves and surfaces through the contact map ⋮ The geometry of corank 1 surfaces in ℝ4 ⋮ Relating second order geometry of manifolds through projections and normal sections ⋮ Geometry of surfaces in \(\mathbb{R}^5\) through projections and normal sections ⋮ Birth of bitangencies in a family of surfaces in \(\mathbb{R}^{4}\) ⋮ Singularities of the Gauss map and the binormal surface ⋮ Cross-ratio invariants for surfaces in 4-space ⋮ Self-adjoint operators on surfaces in \(\mathbb R^n\) ⋮ A relation between the curvature ellipse and the curvature parabola ⋮ Projections of surfaces in \(\mathbb R^4\) to \(\mathbb R^3\) and the geometry of their singular images

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