Conformal models of bundles determined of antiquaternions' algebra. III

In [1] N. E. Belova proved that any two-dimensional subspace of antiquaternions' algebra including the unit was subalgebra isomorphic with two-algebra of complex, throw or dual numbers. In this paper we consider the third accident. We make the connection in the bundles of a real and virtual radius spheres and we find the curvature of this connection. We consider else the conformal models of this bundles.