Global uniqueness for ovaloids in Euclidean and affine differential geometry

DOI10.2748/TMJ/1178227299zbMath0761.53008OpenAlexW2083949226WikidataQ115227252 ScholiaQ115227252MaRDI QIDQ1204159

Udo Simon

Publication date: 1 April 1993

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227299

zbMATH Keywords

ovaloidrelative normalizationequiaffine geometryglobal uniqueness results

Mathematics Subject Classification ID

Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Affine differential geometry (53A15)

Related Items (5)

Transformation techniques for partial differential equations on projectively flat manifolds ⋮ Bochner's technique for statistical structures ⋮ On rigidity of affine surfaces ⋮ RIGIDITY OF AFFINE HYPERSURFACES WITH RANK 1 SHAPE OPERATOR ⋮ Geometric methods for solving Codazzi and Monge-Ampère equations

Cites Work

• The fundamental theorem in affine hypersurface theory
• On the Minkowski problem in affine geometry
• Beweismethoden der Differentialgeometrie im Großen
• Zur Indexmethode in der Differentialgeometrie im Großen
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