The lightweight structure according to the invention has at least one substantially plate-shaped structural wall and an enveloping element. The structural wall and the enveloping element are each made of a fibrous composite material. The structural wall is formed from a first fiber outer layer, an intermediate layer and a second fiber outer layer. At least in a sub-region of the end face of the structural wall, a U-shaped profiled connection section (connection section) having a base wall and two side walls is provided. The base wall is arranged to rest against the end face of the structural wall, and the side walls of the U-shaped profiled connection section are arranged to rest against the outer surfaces of the first and second fiber outer layers and are joined to the fiber outer layers.