English

Geometry of Fanning Curves in Divisible Grassmannians

Differential Geometry 2016-10-25 v2

Abstract

We study the geometry of fanning curves in the Grassmann manifold of n-dimensional subspaces of Rkn\mathbb{R}^{kn}; we construct a complete system of invariants which solve the congruence problem. The geometry of the invariants themselves and their relation with classical invariants is also studied.

Keywords

Cite

@article{arxiv.1412.3287,
  title  = {Geometry of Fanning Curves in Divisible Grassmannians},
  author = {Carlos E. Durán and Cíntia R. de A. Peixoto},
  journal= {arXiv preprint arXiv:1412.3287},
  year   = {2016}
}