Tyre for a vehicle, comprising: - a tread intended to come into contact with the ground via a tread surface, a circumferential midplane passing through the centre of the tread, the tread surface comprising grooves, the grooves forming a space opening onto the tread surface and being delimited by at least two main lateral faces (241, 242) connected by a bottom face, - at least one and at most two central ribs, delimited by circumferential boundaries, the circumferential boundaries of the central ribs being substantially circumferential grooves referred to as circumferential grooves or a circumferential set of grooves, a central rib being such that the circumferential midplane passes between its two boundaries or, if the circumferential midplane passes through a circumferential groove, such that the circumferential midplane passes a distance at most equal to 15 mm from one of the boundaries of said central rib, the circumferential grooves or the grooves of the circumferential set of grooves that form the boundaries of the central rib or ribs having a width W defined by the distance between two lateral faces (241, 242) at least equal to 5 mm and a depth D defined by the maximum radial distance between the tread surface and the bottom face at least equal to 2 mm, - a crown reinforcement, radially on the inside of the tread, comprising a working reinforcement, and a carcass reinforcement radially on the inside of the crown reinforcement comprising at least one carcass layer, the working reinforcement comprising at least one working layer (41, 42), each working layer extending radially from a radially interior curve to a radially exterior curve, each working layer comprising at least partially metal reinforcing elements coated with an elastomer material which are mutually parallel and make with the circumferential direction (XX') of the tyre an angle of which the absolute value is at least equal to 15° and at most equal to 50°, the radially outermost working layer comprising at least one central undulation in line with at least one central rib with an amplitude at least equal to 1 mm, each central undulation being such that the portion of the working layer of the central undulation is radially on the outside of the portion of the working layer in line with the bottom faces of the circumferential grooves or of the grooves of the circumferential set of grooves delimiting the central rib in a vertical line above the central undulation concerned, characterized in that at least one local reinforcement, comprising at least one layer of reinforcing elements that are mutually parallel and make with the circumferential direction (XX') of the tyre an angle of which the absolute value is at most equal to 5°, is vertically in line with at least one central undulation of the radially outermost working layer. - a tread intended to come into contact with the ground via a tread surface, a circumferential midplane passing through the centre of the tread, the tread surface comprising grooves, the grooves forming a space opening onto the tread surface and being delimited by at least two main lateral faces (241, 242) connected by a bottom face, - at least one and at most two central ribs, delimited by circumferential boundaries, the circumferential boundaries of the central ribs being substantially circumferential grooves referred to as circumferential grooves or a circumferential set of grooves, a central rib being such that the circumferential midplane passes between its two boundaries or, if the circumferential midplane passes through a circumferential groove, such that the circumferential midplane passes a distance at most equal to 15 mm from one of the boundaries of said central rib, the circumferential grooves or the grooves of the circumferential set of grooves that form the boundaries of the central rib or ribs having a width W defined by the distance between two lateral faces (241, 242) at least equal to 5 mm and a depth D defined by the maximum radial distance between the tread surface and the bottom face at least equal to 2 mm, - a crown reinforcement, radially on the inside of the tread, comprising a working reinforcement, and a carcass reinforcement radially on the inside of the crown reinforcement comprising at least one carcass layer, the working reinforcement comprising at least one working layer (41, 42), each working layer extending radially from a radially interior curve to a radially exterior curve, each working layer comprising at least partially metal reinforcing elements coated with an elastomer material which are mutually parallel and make with the circumferential direction (XX') of the tyre an angle of which the absolute value is at least equal to 15° and at most equal to 50°, the radially outermost working layer comprising at least one central undulation in line with at least one central rib with an amplitude at least equal to 1 mm, each central undulation being such that the portion of the working layer of the central undulation is radially on the outside of the portion of the working layer in line with the bottom faces of the circumferential grooves or of the grooves of the circumferential set of grooves delimiting the central rib in a vertical line above the central undulation concerned, characterized in that at least one local reinforcement, comprising at least one layer of reinforcing elements that are mutually parallel and make with the circumferential direction (XX') of the tyre an angle of which the absolute value is at most equal to 5°, is vertically in line with at least one central undulation of the radially outermost working layer.