Parallel surfaces in affine 4-space
微分几何
2007-05-23 v1
摘要
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.
引用
@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}
}
备注
16 pages, 1 figure (uses epsf.tex), submitted for publication