A method for manufacturing a component, in particular a component of a turbine or a compressor, in which at least these steps are carried out: application in layers of at least one powdered component material to a component platform in the area of a buildup and joining zone; melting and/or sintering locally in layers of the component material by supplying energy with the aid of at least one electron beam in the area of the buildup and joining zone; lowering of the component platform in layers by a predefined layer thickness; and repeating steps a) through c) until completion of the component. During the manufacturing, electrons emitted due to the interaction of the electron beam with the component material are detected, after which material information, characterizing the topography of the melted and/or sintered component material, is ascertained on the basis of the emitted electrons. Alternatively or additionally, the component material is melted and/or sintered by at least two, preferably at least four electron beams.