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On locally symmetric affine hypersurfaces

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Publication:1337765
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DOI10.1007/BF01189575zbMath0805.53008MaRDI QIDQ1337765

Christine Scharlach, Luc Vrancken

Publication date: 13 November 1994

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

Levi-Civita connectionlocally symmetric spaceaffine hypersphereshomogeneous hyperspheres


Mathematics Subject Classification ID

Affine differential geometry (53A15)





Cites Work

  • Unnamed Item
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  • Flat affine spheres in \(R^ 3\)
  • On the geometry of affine immersions
  • Uniqueness theorems in affine differential geometry. II
  • On the Pick invariant, the affine mean curvature and the Gauss curvature of affine surfaces
  • Locally symmetric connections on surfaces
  • Affine quasi umbilical hypersurfaces which are flat with respect to the affine metric
  • The classification of 3-dimensional locally strongly convex homogeneous affine hypersurfaces
  • Calabi-type composition of affine spheres
  • Homogeneity and some curvature conditions for hypersurfaces
  • Affine spheres with constant affine sectional curvature
  • Locally Symmetric Affine Hypersurfaces




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