In this paper the geomagnetic effects of the interplanetary magnetic sector structure are studied on the basis of some new criteria and working hypotheses. Thus, we assume that the recurrence of geomagnetic disturbances should be understood in a dynamical sense, in connection with the evolution of the full sector structure, and not necessarily as a 27-day recurrence. Accordingly, on the representation of the sector structure during 1968, as deduced by Wilcox and Colburn, we have defined four ‘main recurring lines’, which link the sector boundaries recurrent in successive solar rotations. The term ‘group of SC and SI events’, abbreviated as gr(SC + SI), introduced by us in previous works to designate the morphological grouping of the individual SC and SI events in collective events, is also used. It should be pointed out that the bulk of gr(SC + SI) events are either associated with sector boundaries, or recurrent in successive solar rotations. Part of these events reveal the existence of some ‘secondary recurring lines’, within the magnetic sectors. The above working hypotheses and observations have been checked by the superposed epoch analysis, performed for each main recurring line in part and for all the main recurring lines combined. The following parameters are analysed: the number of SC events, the number of collective events gr(SC + SI), the total number of SC and SI events and the geomagnetic activity index Kp. The main result of the superposed epoch analysis consists in the appearance of a sharp maximum for all the parameters considered on the day of sector boundary. This fact proves that the effects of the sector boundaries are important and general, in regard to all aspects of geomagnetic activity. Essentially these effects consist of the occurrence of gr(SC + SI) events and of a specific increase in the Kp index, when the sector boundaries pass by the magnetosphere. This suggests that the sector boundaries are accompanied by corotating shocks and magnetohydrodynamical turbulence. The high frequency in the occurrence of the SC events on the days of sector boundaries is also noticeable. Each main recurring line presents a certain ‘individuality’, expressed particularly by secondary specific maxima in all the parameters, corresponding to the ‘secondary recurring lines’. One suggests that these secondary recurring lines might be due to some corotating distortions within the magnetic sectors and might be related to the ‘subsector’ or ‘filaments’. The distribution of the geomagnetic disturbances near the sector boundaries depends on the direction of the field polarity change. All these results lead to the conclusion that most of the geomagnetic disturbances can be accounted for by the interaction between corotating distortions in the solar wind connected with the sector structure and the magnetosphere, the flare-induced disturbances representing statistically the secondary mechanism.