Equivalence theorems in affine differential geometry

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1989 English Publisher:Springer Science and Business Media LLCJournal:Geometriae Dedicata, volume 32 (issn: 0046-5755, eissn: 1572-9168,

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Authors: Franki Dillen;

doi: 10.1007/bf00181438

Equivalence theorems in affine differential geometry

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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.

Related Organizations

KU Leuven
Belgium
Katholieke Universiteit Leuven
Belgium

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