Parallel surfaces in affine 4-space
Differential Geometry
2007-05-23 v1
Abstract
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. parallel second fundamental form). This completes the classification of parallel surfaces of which the first results were obtained in the beginning of this century by Blaschke and his collaborators.
Keywords
Cite
@article{arxiv.math/0210406,
title = {Parallel surfaces in affine 4-space},
author = {C. Scharlach and L. Vrancken},
journal= {arXiv preprint arXiv:math/0210406},
year = {2007}
}
Comments
16 pages, 1 figure (uses epsf.tex), submitted for publication