Abstract
In this paper we establish an affine equivalence theorem for affine submanifolds of the real affine space with arbitrary codimension. Next, this theorem is used to prove the classical congruence theorem for submanifolds of the Euclidean space, and to prove some results on affine hypersurfaces of the real affine space.
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Research Assistant of the National Fund for Scientific Research (Belgium).
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Dillen, F. Equivalence theorems in affine differential geometry. Geom Dedicata 32, 81–92 (1989). https://doi.org/10.1007/BF00181438
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DOI: https://doi.org/10.1007/BF00181438