The problem is investigated from three different perspectives: (i) Using kown positions and distances we derive the inclination of a plane passing through the Milky Way and M31 and minimizing the distances of all remaining objects to it. This plane is indeed a planar slab of about 300 kpc thickness. (ii) The existence of this plane is then tested by the Minimum Action method. The geometrical and Minimum Action planes are coincident. Furthermore, passing from the Minimum Action to the force field exerted by galaxies and galaxies groups external to the local Group, the external force filed is found to run parallel to this plane. (iii) Finally, we investigate whether the planar distribution of dwarf galaxies (in particular of the most distant ones) can be the results of tidal forces exerted by the external galaxies/groups. We find that the geometrical structure minimizing the energy of tidal interactions is a plane coincident in orientation with the previous ones. The situation is remarkable stable over long periods of time. Stefano Pasetto & Cesare Chiosi