  We have studied the correlations among the three absolute neutrino mass
observables - the effective Majorana mass ($m_{ee}$) which can be obtained from
neutrinoless double beta decay, the electron neutrino mass ($m_{\beta}$) which
is measured in single beta decay experiments and the sum of the light neutrino
masses ($\Sigma$) which is constrained from cosmological observations, in the
context of minimal left-right symmetric model. Two phenomenologically
interesting cases of type-I seesaw dominance as well as type-II seesaw
dominance have been considered. We have taken into account the independent
constraints coming from lepton flavor violation, single $\beta$ decay,
cosmology and neutrinoless double beta decay and have determined the combined
allowed parameter space that can be probed in the future experiments. We have
also analyzed the correlations and tensions between the different mass
variables. In addition, the constraints on the masses of the heavy particles
coming from lepton flavor violation and the bounds on three absolute neutrino
mass observables are also determined. We show that these constraints can rule
out some of the parameter space which are not probed by the collider
experiments.
