Riemann geometry without indices

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 ${\mathfrak{sl}}_2\times {\mathfrak{sl}}_2$ on such forms.

14 pages

References in corpus (1)

• A remark on the symmetries of the Riemann curvature tensor