The fundamental theorem in affine hypersurface theory

DOI10.1007/BF00151665zbMath0641.53011OpenAlexW2026592624MaRDI QIDQ1100735

Udo Simon

Publication date: 1988

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00151665

zbMATH Keywords

linear connectionsrelative normalizationfundamental theorem of surface theoryaffine hypersurface theory

Mathematics Subject Classification ID

Affine differential geometry (53A15)

Related Items (8)

Transformation techniques for partial differential equations on projectively flat manifolds ⋮ Harmonic Gauss maps and Codazzi tensors for affine hypersurfaces ⋮ On the fundamental theorem for non-degenerate complex affine hypersurface immersions ⋮ Global uniqueness for ovaloids in Euclidean and affine differential geometry ⋮ Some equivalence theorems in affine hypersurface theory ⋮ Conjugate connections and Radon's theorem in affine differential geometry ⋮ Local classification of twodimensional affine spheres with constant curvature metric ⋮ Geometric methods for solving Codazzi and Monge-Ampère equations

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