Complexes of hyperboloids without focal manifolds
We continue to research in three-dimensional equiaffine space the complexes (three-parameter families) of hyperboloids of one sheet. The center of the beam axis of rectilinear congruence of this hyperboloid describes the line with tangents parallel to the first coordinate vector, and the indicatrix of the coordinate vectors are lines parallel these vectors with empty focal manifold. The existence theorem of the investigated diversity is proved. Characteristic manifold of the forming element of this complex is characterized geometrically. Geometric properties are obtained for it.