Eine Invariantentheorie der Dreigewebe aus r- dimensionalen Mannigfaltigkeiten imR2r

@article{Chern1935EineID,
  title={Eine Invariantentheorie der Dreigewebe aus r- dimensionalen Mannigfaltigkeiten imR2r},
  author={Shiing-Shen Chern},
  journal={Abhandlungen aus dem Mathematischen Seminar der Universit{\"a}t Hamburg},
  year={1935},
  volume={11},
  pages={333-358}
}
  • S. Chern
  • Published 1 December 1935
  • Mathematics
  • Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg

Bol three-webs with torsion tensor of rank

The infinitesimal properties of multidimensional Bol three-webs with covariantly constant curvature tensor (webs ) are considered, and a foundation for classifying such webs in accordance with the

Configurations on Curvilinear Three-Web Boundaries

On the boundaries of the first and second kind of curvilinear three-web, configurations are defined that are analogous to the known Thomsen and Bol configurations. This makes it possible to find the

Bol three-webs with covariantly constant curvature tensor

TLDR
It is proved the existence of such webs and lay the foundation of their classification in terms of torsion tensor rank, and it is shown that 6-dimensional non-group webs of such type are the known flexible webs E1 and E2.

Mathematica Bohemica

All anliolonomic (n + l)-web of dimension r is considered as an (n + l)-tuple of r-dimensiona] distributions in general position. We investigate a family of (1, l)-tensor fields (projectors and