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On the \(\infty\)-norm of the cubic form of complete hyperbolic affine hyperspheres

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Publication:370811
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DOI10.1007/s00025-012-0301-7zbMath1277.53011OpenAlexW2051688007MaRDI QIDQ370811

Roland Hildebrand

Publication date: 19 September 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-012-0301-7


zbMATH Keywords

differential inequalitycubic formhyperbolic affine hyperspheres


Mathematics Subject Classification ID

Interior-point methods (90C51) Global submanifolds (53C40) Affine differential geometry (53A15)


Related Items (1)

Optimal inequalities between distances in convex projective domains



Cites Work

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  • An extension of E. Hopf's maximum principle with an application to Riemannian geometry
  • Affine spheres and Kähler-Einstein metrics.
  • Barriers on projective convex sets
  • Zur affinen Differentialgeometrie im Großen. II: Über eine Abschätzung der Invariante auf Affinsphären
  • Affine spheres with constant affine sectional curvature
  • Complete affine hypersurfaces. Part I. The completeness of affine metrics
  • Global affine differential geometry of hypersurfaces


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