  Meromorphic differentials on Riemann surfaces are said to be real-normalized
if all their periods are real. Moduli spaces of real-normalized differentials
on Riemann surfaces of given genus with prescribed orders of their poles and
residues admit stratification by orders of zeroes of the differentials. Subsets
of real-normalized differentials with the fixed polarized module of periods
compose isoperiodic subspaces, which also admit this stratification. In this
work we prove the connectedness of the principal stratum for the isoperiodic
subspaces in the space of real-normalized differentials with a single pole of
order two when all the periods are incommesurable.
