Affine Surfaces whose Geodesics are Planar Curves

DOI10.2307/2161915zbMath0843.53005OpenAlexW2013878327MaRDI QIDQ4874284

Luc Vrancken

Publication date: 15 August 1996

Full work available at URL: https://doi.org/10.2307/2161915

zbMATH Keywords

affine connectionsEuclidean four-spacetwo-dimensional affine surface

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Linear and affine connections (53B05)

Related Items (3)

A characterization of affine spheres in \(\mathbb R^4\) ⋮ Erratum to ``Affine surfaces in \(\mathbb R^4\) with planar geodesics with respect to the affine metric ⋮ Centroaffine surfaces in ℝ⁴ with planar ∇-geodesics

Cites Work

• Unnamed Item
• Zur affinen Differentialgeometrie. I. Über \(p\)-dimensionale Minimalflächen und Sphären im \(n\)-dimensionalen Raum. II. Über zweidimensionale Flächen im vierdimensionalen Raum
• The Affine Mean Curvature Vector for Surfaces in R4
• A NEW EQUIAFFINE THEORY FOR SURFACES IN ℝ⁴

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