The roof according to the present invention has a front part, a rear central element articulated to the front part of the roof, and two rear side elements that are installed free to move with respect to the central element. A front drive and guidance system is adapted to displace the side elements with respect to the central element when the front part of the roof is displaced with respect to the central element and includes two side connecting rods, each rod being installed free to rotate at the front part of the roof and relative to a displacement system designed to displace the corresponding side element relative to the central element.