9 1995 Birkh/iuser Vertag, Basel Equality of two representations of extended affine surface area By

1. Introduction and statement of the Theorem. In the last decade there has been growing interest in concepts and theorems related to the equiaffine surface area of a convex body. Whereas originally the notion of an equiaffinety invariant surface area was limited to the scope of affine differential geometry developed by Blaschke and his school, recent re-search is mainly devoted to determining and investigating corresponding expression