Generic affine differential geometry of space curves

DOI10.1017/S0308210500012804zbMath0916.53005OpenAlexW2051784454WikidataQ115335916 ScholiaQ115335916MaRDI QIDQ3840007

Shyuichi Izumiya, Takasi Sano

Publication date: 26 July 1999

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/s0308210500012804

zbMATH Keywords

singularity theoryspace curvesaffine invariantsequiaffine frameequiaffine surfaces

Mathematics Subject Classification ID

Affine differential geometry (53A15)

Related Items (7)

Affine normal curvature of hypersurfaces from the point of view of singularity theory ⋮ Canonical frames of a curve in multidimensional affine space ⋮ Affine geometry of equal-volume polygons in 3-space ⋮ Affine invariants of an immersion of a topological space in the \(n\)-dimensional real vector space ⋮ Singularities of lightlike hypersurface in semi-Euclidean 4-space with index 2 ⋮ The complete system of global integral and differential invariants for equi-affine curves. ⋮ Geometric contacts of surfaces immersed in \(\mathbb R^n,n\geqslant 5\)

Cites Work

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• The geometry of surfaces in 4-space from a contact viewpoint
• The normal singularities of a submanifold
• Generic Geometry
• The existence of sextactic points
• Generic Curves and Surfaces
• On singularities, envelopes and elementary differential geometry
• Generic 1-parameter families of caustics by reflexion in the plane

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