On the Laplace-sequence of relative normalizations of hypersurfaces in the Euclidean space \(\mathbb{R}^{n+1}\)

DOI10.1007/s00022-015-0267-1zbMath1341.53011OpenAlexW2071213341MaRDI QIDQ895723

Ioannis Kaffas, Stylianos S. Stamatakis

Publication date: 4 December 2015

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-015-0267-1

zbMATH Keywords

affine differential geometryrelative normalizationsovaloidLaplace-normal vectorPick-invariantrelative differential geometry

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Surfaces in Euclidean and related spaces (53A05) Convex sets in (3) dimensions (including convex surfaces) (52A15) Affine differential geometry (53A15) Other special differential geometries (53A40)

Cites Work

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• Relativgeometrische Kennzeichnungen euklidischer Hypersphären. (Characterizations of Euclidean hyperspheres in relative geometry)
• Relative and affine normals
• Characterizations of Ruled Surfaces in $\mathbb{R}^3$ and of Hyperquadrics in $\mathbb{R}^{n+1}$ via Relative Geometric Invariants

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