A gas burner for a heater comprises a planar metal frame portion with an elongated opening defined by two longitudinal edges and by two transversal end edges, as well as a combustion membrane in the form of a tridimensional shell, connected to the frame portion along the longitudinal and transversal edges, wherein the combustion membrane has a diffuser layer, which forms an outer combustion surface made of a perforated metal sheet, and which extends between the two longitudinal edges with a single curvature out of the plane of the frame portion, and two closure portions made of metal sheet extending from the transversal edges out of the plane of the frame portion and which close end areas between the diffuser layer and the transversal edges of the frame portion.
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