English

Parabolic Symmetric Spaces

Differential Geometry 2010-01-26 v1

Abstract

We study here systems of symmetries on 1|1|--graded parabolic geometries. We are interested in smooth systems of symmetries and we discuss non--flat homogeneous 1|1|--graded geometries. We show the existence of an invariant admissible affine connection under quite weak condition on the system.

Keywords

Cite

@article{arxiv.0908.0839,
  title  = {Parabolic Symmetric Spaces},
  author = {Lenka Zalabova},
  journal= {arXiv preprint arXiv:0908.0839},
  year   = {2010}
}

Comments

15 pages

R2 v1 2026-06-21T13:33:02.720Z