Non-Riemannian Cartan geometry (Q1917734)

A Cartan space \({\mathcal C}^n = (M,H(x,p))\) [cf. the reviewer, An. Stiinţ. Univ. Al. I. Cuza Iaşi, Ser. Nuova Mat. 35, No. 1, 33-67 (1989; Zbl 0711.53022)] is a Hamilton space for which the fundamental function \(H(x,p)\) is 2-homogeneous with respect to the momenta \(p_i\). The author studies two important classes of spaces \({\mathcal C}^n\): (a) Strongly non-Riemannian; (b) parallelizable. He proves the following interesting result: Any strongly non-Riemannian Cartan space \({\mathcal C}^n\) is parallelizable.