Affine planar geodesic immersions with maximal codimension

DOI10.1007/S10114-010-6574-4zbMath1203.53011OpenAlexW2031932849MaRDI QIDQ5962271

Paweł Witowicz

Publication date: 21 September 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-6574-4

zbMATH Keywords

normal sectionaffine immersionplanar geodesic

Mathematics Subject Classification ID

Linear and affine connections (53B05) Affine differential geometry (53A15)

Related Items (1)

Divisibility of multilinear mappings with applications to affine differential geometry

Cites Work

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• Classification of surfaces with planar normal sections
• On submanifolds with planar normal sections
• Differential geometry of submanifolds with planar normal sections
• Manifolds with planar geodesics
• Parallel affine immersions with maximal codimension
• Isometric immersions of manifolds with plane geodesics into Euclidean space
• Affine immersion of \(n\)-dimensional manifold into \(\mathbb{R}^{n+n(n+1)/2}\) and affine minimality
• Centroaffine surfaces in ℝ⁴ with planar ∇-geodesics
• A NEW EQUIAFFINE THEORY FOR SURFACES IN ℝ⁴

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