Equivalence theorems in affine differential geometry

✍ Scribed by Franki Dillen

• Publisher: Springer
• Year: 1989
• Tongue: English
• Weight: 485 KB
• Volume: 32
• Category: Article
• ISSN: 0046-5755
• DOI: 10.1007/bf00181438

✦ Synopsis

In this paper we establish an affine equivalence theorem for attine 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.

AMS SUBJECT CLASSIFICATION (1980). 53A 15.