2 papers
math.DG2003
3-dimensional affine hypersurfaces admitting a pointwise SO(2)- or Z_3-symmetry
Christine Scharlach, Luc Vrancken
In (equi-)affine differential geometry, the most important algebraic invariants are the affine (Blaschke) metric h, the affine shape operator S and the difference tensor K. A hyper…
math.DG2002
Parallel surfaces in affine 4-space
C. Scharlach, L. Vrancken
We study affine immersions as introduced by Nomizu and Pinkall. We classify those affine immersions of a surface in 4-space which are degenerate and have vanishing cubic form (i.e.…