On a diagram in the theory of connections

Ercument Ortacgil

E-mail: ortacgil@boun.edu.tr

Abstract. We study the correspondence between Christoffel and Cartan symbols and construct a commutative diagram which relates the nonlinear Janet sequences for the k$^{th}$ order Christoffel and Cartan symbols and the nonlinear gauge sequence for the k$^{th}$ order coframe bundle.

AMSclassification. 53C05

Keywords. Christoffel and Cartan symbols, Janet sequence, gauge sequence