Motor vehicle bumper

A motor vehicle bumper, comprising:

• a transverse carrier configured to be secured transversely relative to longitudinal carriers of a motor vehicle by crash boxes,
• wherein
• the transverse carrier has a shell member and a closure plate,
• the shell member is open toward a front side,
• the shell member has a rear wall and two outer members,
• each of the two outer members has an outwardly directed longitudinal flange,
• the shell member has a central longitudinal portion which is adjoined, in a direction towards each of two ends of the transverse carrier, by a transition portion, an intermediate portion and a crash box connection portion,
• the shell member is closed at least over a majority of a length of the shell member by the closure plate,
• the closure plate forms the front side,
• the rear wall of the shell member has, in the central longitudinal portion and in the transition portions, a bead,
• the bead is directed toward the front side so that the shell member has, in the central longitudinal portion and in the transition portions, a profile which is W-shaped in cross-section,
• the shell member has in the transition portions a minimum depth which is less than a maximum depth in the central longitudinal portion, and
• the minimum depth in the transition portion and the maximum depth in the central longitudinal portion are measured in a vehicle x-axis between a foremost outer face of the shell member and a rearmost outer face of the shell member.