Abstract: In the manufacture of bent or curved car glass plates or panes with more markedly bent areas, the latter are additionally locally heated with acetylene--oxygen, or acetylene--air, flames. An apparatus suitable for this includes a continuous furnace (1) and a bending station (3) with a bending mold (41) positioned above the conveying plane of the glass plates (9), as well as a ring mold (45) which serves as a countermold and a conveying ring and which is located on a movable carriage (44). In the areas of more marked bending below the ring mold (45) are provided burner tubes (42), which are supplied via flexible hoses with the acetylene gas and the combustion air or oxygen. Alternatively, the plates are locally heated in a transition zone (7) located between the furnace and the bending station by a gas burner (8), and thereafter pressed in the bending station by an upper bending mold (14) and a lower ring mold (16).