English

Riemann geometry without indices

Differential Geometry 2018-10-02 v1

Abstract

We suggest an index-free formalism allowing to simplify many computations in Riemann geometry. The main ingredients are forms with values in a Clifford algebra and an action of the group sl2×sl2\mathfrak{sl}_2\times \mathfrak{sl}_2 on such forms.

Cite

@article{arxiv.1810.00239,
  title  = {Riemann geometry without indices},
  author = {Vladimir V. Fock and Pierre Goussard},
  journal= {arXiv preprint arXiv:1810.00239},
  year   = {2018}
}

Comments

14 pages

R2 v1 2026-06-23T04:23:05.894Z