English

Differential invariants of curves in G(2) flag varieties

Differential Geometry 2021-07-09 v1

Abstract

We compute the algebra of differential invariants of unparametrized curves in the homogeneous G(2) flag varieties, namely in G(2)/P. This gives a solution to the equivalence problem for such curves. We consider the cases of integral and generic curves and relate the equivalence problems for all three choices of the parabolic subgroup P.

Keywords

Cite

@article{arxiv.2107.03664,
  title  = {Differential invariants of curves in G(2) flag varieties},
  author = {Boris Kruglikov and Andreu Llabrés},
  journal= {arXiv preprint arXiv:2107.03664},
  year   = {2021}
}