A Note on Geodesics and Curvatures of Certain 4-spaces

This work is a continuation of the papers [3] and [4], in which we studied the metrics (1.1) and (1.2) on R⁴₊. The metric (1.1) with a = 0: ds² = dx1dx1 + dx2dx2 + dx3dx3 − dx4dx4 x4x4 is analogous to the metric of the hyperbolic 4-space. We considered fundamentally metrics on R⁴₊ based on this hyperbolic type metric, not Euclidean or Minkowsky types.