Movements in a linearly connected space of hyperplane elements (Q1381651)

The basis of the theory of movements was given by \textit{B. L. Laptev} [`Lie derivative in spaces of supporting elements', Tr. Semin. Vektorn. Tenzorn. Anal. 10, 227-248 (1956; Zbl 0074.16603)] who expressed equations of movements in terms of Lie derivatives. The movements preserving a differential geometric object form a group \(G_r\) of \(r\) parameters which depend on integrability conditions of movement equations. In the paper under review, the author studies the general theory of movements preserving a certain connection \(\Gamma\).