Equivalence theorems in affine differential geometry

DOI10.1007/BF00181438zbMath0684.53012OpenAlexW2067039815MaRDI QIDQ1825442

Frankie Dillen

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf00181438

zbMATH Keywords

equivalence theoremcongruence theoremsaffine submanifolds

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Affine differential geometry (53A15)

Related Items (14)

Affine hypersurfaces admitting a pointwise symmetry ⋮ The classification of 3-dimensional quasi-umbilical locally homogeneous Blaschke hypersurfaces ⋮ Isometric immersions into products of space forms ⋮ A fundamental theorem for submanifolds of multiproducts of real space forms ⋮ Three-dimensional locally homogeneous Lorentzian affine hyperspheres with constant sectional curvature ⋮ Isometric immersions of higher codimension into the product \(S^k {\times} H^{n+p-k}\) ⋮ On the Pick invariant, the affine mean curvature and the Gauss curvature of affine surfaces ⋮ Locally symmetric connections on surfaces ⋮ Two families of affine projectively flat surfaces ⋮ Some equivalence theorems in affine hypersurface theory ⋮ Affine complete locally convex hypersurfaces ⋮ On locally strongly convex affine hypersurfaces with parallel cubic form. I ⋮ Conjugate connections and Radon's theorem in affine differential geometry ⋮ Homogeneous affine hypersurfaces with rank one shape operators

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