Parallel surfaces in affine 4-space

DOI10.1007/BF02941274zbMath1056.53008arXivmath/0210406OpenAlexW1965059424WikidataQ125882584 ScholiaQ125882584MaRDI QIDQ1429143

Christine Scharlach, Luc Vrancken

Publication date: 18 May 2004

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210406

zbMATH Keywords

linearly full affine immersions with parallel second fundamental formone-degeneracy of affine surface immersions into four-spaceruled surfaces in four-space

Mathematics Subject Classification ID

Affine differential geometry (53A15)

Related Items (1)

Parallel affine immersions \(M^n\to\mathbb R^{n+2}\) with flat connection

Cites Work

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• Parallel affine immersions with maximal codimension
• Immersions with parallel second fundamental form
• A unimodularly invariant theory for immersions into the affine space
• Centroaffine first order invariants of surfaces in \(\mathbb{R}^ 4\)
• Der Berührungstensor zweier Flächen und die Affingeometrie der \(F_p\) im \(A_n\). I
• A NEW EQUIAFFINE THEORY FOR SURFACES IN ℝ⁴
• Affine surfaces in \(\mathbb{R}^5\) with zero cubic form

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