double cone or else the form of an axial or radial swirl generator and of means for injecting a fuel into the combustion air stream moreover they are characterized in that downstream of the swirl generator a mixing zone is arranged which has within a first zone part transitional ducts running in the flow direction for transferring a flow formed in the swirl generator into a pipe located downstream of the transitional ducts the outflow plane of this pipe into the combustion chamber being designed with a breakaway edge for stabilizing and enlarging a backflow zone which is formed downstream in these burners too a stable inner and outer backflow zone is formed downstream of the breakaway edge in the combustion chamber the recirculation of the hot exhaust gases for stabilization in the part load mode takes place here too out of the combustion chamber in particular preferably so as to be picked up next to the burner mouth via a recirculation line which injects the hot exhaust gases if appropriate with the admixing of pilot air and or fuel preferably axially centrally into the burner tip that is to say in this case into the center of that end of the swirl generator which faces away from the combustion chamber the novel method for exhaust gas recirculation may also be employed in a burner such as is described.