In this work, the role of the geometrical shape, using the Minkowski's metrics, upon the temperature dependence of the magnetic and electrical transport properties of La2/3Ca1/3MnO3 nanoparticles was carried out. We considered a set of small particles with different shapes containing approximately the same amount of Mn ions (similar to 6500) and distributed as a simple cubic structure in agreement with the manganites perovskite structure. The model is based on the standard Monte Carlo-Metropolis method and the classical Heisenberg Hamiltonian involving nearest magnetic neighbors interactions. Results dealing with the dependence of the Curie temperature for nanoparticles is lower than material in bulk. Moreover, magnetization and magnetic susceptibility as a function of the metric for some field cooled values. As the field cooled increased the transition temperature T (C) increased. On the other hand, low temperature coercive force and resistivity with the shape of the nanoparticles, having different metric parameters, are present and discussed.