Differentiable connections with Poincaré groups of local transformations. II (Q1873239)

Using the relations between the \(P(1,n)\)-invariant connections established in the previous paper, the author gives the construction of these connections. After that, the same problems are solved for the action of the extended Poincaré group \(\widetilde{P}(1,n)\) on the fiber bundle \(\pi :{\mathbb R}^{n+1}\rightarrow {\mathbb R}^n\) and the corresponding \(\widetilde{P}(1,n)\)-invariant connections. For Parts I and III, see ibid. 41, 394-400 (2001; Zbl 1030.53027) and ibid. 42, 211-218 (2002; Zbl 1030.53029).