Connections of the 2nd order on a family of centered planes in a projective space
In the prolongation of the principal bundle G(B<sub>r</sub>) associated with a family of centered planes B<sub>r</sub>, by Laptev - Lumiste’s way foundamental-group connection of the 2nd order is given. Equations of the object of this connection and the curvature object of this connection are found. It is shown that connection of the 1st order on the bundle G(B<sub>r</sub>) together with affine connection in the parameter space V<sub>r</sub> induce one-parameter bunch of the connections of the 2nd order.