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A characterization of affine spheres in \(\mathbb R^4\)

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Publication:653825
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DOI10.1007/s10474-010-0044-4zbMath1240.53006OpenAlexW2073801174WikidataQ125914825 ScholiaQ125914825MaRDI QIDQ653825

Juan-Miguel Gracia

Publication date: 19 December 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-010-0044-4


zbMATH Keywords

affine sphereaffine mean curvature vectorequiaffine normal bundle


Mathematics Subject Classification ID

Affine differential geometry (53A15)




Cites Work

  • Unnamed Item
  • Flat affine maximal surfaces in \(\mathbb{R}^{4}\)
  • Affine translation surfaces
  • Flat affine surfaces in \(\mathbb{R}^4\) with flat normal connection
  • A characterization of the complex paraboloid
  • Affine umbilical surfaces in \(\mathbb{R}^ 4\)
  • Indefinite affine umbilical surfaces in \(\mathbb{R}^4\)
  • The Affine Mean Curvature Vector for Surfaces in R4
  • Affine Surfaces whose Geodesics are Planar Curves
  • A NEW EQUIAFFINE THEORY FOR SURFACES IN ℝ4
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