  Euclidean quantum measure in Regge calculus with independent area tensors is
considered using example of the Regge manifold of a simple structure. We go
over to integrations along certain contours in the hyperplane of complex
connection variables. Discrete connection and curvature on classical solutions
of the equations of motion are not, strictly speaking, genuine connection and
curvature, but more general quantities and, therefore, these do not appear as
arguments of a function to be averaged, but are the integration (dummy)
variables. We argue that upon integrating out the latter the resulting measure
can be well-defined on physical hypersurface (for the area tensors
corresponding to certain edge vectors, i.e. to certain metric) as positive and
having exponential cutoff at large areas on condition that we confine ourselves
to configurations which do not pass through degenerate metrics.
