the individual illustrations of fig1 a through 1f and 2a through 2c will be described below , using the same reference numbers . the individual illustrations of fig1 a through 1f show phases of the first two - stage machining operation and a subsequent second machining operation carried out on the outer joint part . fig1 a shows a straight cylindrical tubular member 1 on which the method in accordance with the invention starts . fig1 b shows the partially deformed tubular member 1 &# 39 ; and 1 &# 34 ; respectively , with deformation taking place in two phases in an entirely cylindrical die 2 which , on a base plate 3 with an annular projection 4 , carries the tubular member . a first punch 5 &# 39 ; is used to upset and form a radial flange 6 &# 39 ;, whereas a second punch 5 &# 34 ; is used to complete the radial flange 6 &# 34 ; which , hereafter , will only be referred to as flange 6 . fig1 c shows the outer joint part 11 which is deformed during a further stage and which includes the above - mentioned flange 6 and a substantially undeformed axial portion 7 at the axially opposed end . between the two axial end regions , a reduced central portion 8 is identified which includes the ball tracks , as will be shown later . between the flange 6 and the central portion 8 a conical region of transition 9 is provided and between the undeformed portion 7 and the central portion 8 a portion of transition 10 is provided which is also conical . the operation of radially deforming the central portion 8 takes place in a radially advancing circumferentially divided outer tool 12 , while the tubular member 1 is simultaneously supported by a multi - part axially divisible inner tool 13 . the inner tool 13 includes a core part 14 for the central portion 8 and parts 15 and 16 for the end portions 6 , 9 and 7 , 10 . further details of the inner tool 13 whose parts 14 , 15 , 16 are shown here in section will be identifiable in the following figures . fig1 d shows the outer joint part 11 after completion of its first deformation stage , with the parts of the outer tools 12 having been removed radially outwardly . parts 14 , 15 , 16 are visible in a plan view , with the core part 14 still being in its position inside the outer joint part 11 , whereas the parts 15 , 16 have been axially removed therefrom while carrying out rotational movements . this figure shows that the core part 14 of the inner tool is provided with grooves 17 which are engaged by , and support , finger parts 18 at the tool part 15 and finger parts 19 at the tool part 16 . the finger parts are inclined at different angles relative to the longitudinal axis . in view of the different angles of inclination of each of the three finger parts 18 , 19 on each of the tool parts 15 , 16 , also referred to as finger holding parts relative to one another , there occur , on the outer joint part , alternately differently inclined tracks whose axial run - out portions 20 , 21 , running into the conical regions of transition 9 , 10 , are already identifiable . the finger parts 18 , 19 are slightly radially displaceable in the finger holding parts 15 , 16 . in fig1 e , the core part 14 of the inner tool 13 has also been axially removed from the outer joint part 11 . the grooves 17 in the core part 14 are again shown with their longitudinal center line . now the complete tracks 22 are visible in the outer joint part 11 with their run - out portions 20 , 21 . fig1 f shows the outer joint part 11 on its own after the above - described stages of deformation , including the abovereferenced details . to render the design of the tools more easily understandable , reference is now made to fig3 . fig3 shows a cross - section of the central portion 8 of the outer joint part 11 in the configuration according to fig1 c . it shows the outer joint part 11 with formed track regions 22 and reduced circumferential regions 23 positioned therebetween . the outer joint part is supported by a circular - cylindrical core 14 of the inner tool which includes grooves 17 into which the finger parts 18 , 19 are inserted while carrying out rotating axial movements . the finger parts are circumferentially alternately connected to one of the tool parts 15 , 16 . fig3 also shows the outer tool 12 which , in a complementary way , corresponds to the joined outer contour of the inner tool 13 and which , in the section shown , is divided in radial planes through the centers of the finger parts 18 , 19 and whose individual parts are moved in radially . the individual fig2 a through 2c show different phases of the final machining operation and are described below one after the other . fig2 a shows the outer joint part 11 which corresponds to fig1 f . reference is therefore made to the numbering of the various details . there is also shown an outer tool 32 which is circumferentially divided and now radially supports the outer joint part from the outside . an inner tool 33 which includes a core part 34 for the central portion 8 , two parts 35 and 36 for the axial end portions 6 , 9 and 7 , 10 and the axially feedable mandrel 43 is inserted into the outer joint part 11 . the mandrel 43 includes a conical face 40 which cooperates with an inner cone 41 of the core part 34 . the core part 34 is circumferentially divided . by axially moving in the mandrel 43 , the individual segments of the core part 34 of the inner tool 33 expand the central portion 8 of the outer joint part 11 against the supporting outer tool 32 . fig2 b shows that the circumferential parts of the outer tool 32 which , in this case , have a supporting function have been moved away radially outwardly . equally , the tool part 35 with the finger parts 38 , while carrying out a rotational movement , has been disengaged from the outer joint part 11 and the core part 34 and moved out . the core part 34 has already been axially pulled in the opposite direction , with the inner tool 36 corresponding to the tool part 16 with the finger part 19 no longer shown since it has previously been removed in the direction away from the tool part 35 while carrying out an axial rotational movement . the tool parts 35 , 36 are also referred to as finger holding parts . the finger parts 38 and the finger parts ( not illustrated ) corresponding to the finger parts 16 are radially displaceably held in the tool parts 35 , 36 . the outer joint part 11 now calibrated against the outer tool 32 is identifiable with all its details as already shown in fig1 e . the details are shown and numbered once again in fig2 con the outer joint part , with the dimensions having changed only in the range of one tenth of a millimeter relative to the embodiment shown in fig1 f . to render the tools used here more easily understandable , reference is now made to fig4 showing a cross - section through the outer joint part 11 with the tools illustrated in fig2 a . the elements of the outer joint part 11 , the ball track portions 22 and intermediate portions 23 , are also identifiable . with the exception of the dimensions , the parts of the outer tool 32 correspond to those of the outer tool 12 according to fig3 . in the section shown here , the core part 34 is formed of circumferential segments 42 which adjoin one another with play in radial dividing planes centrally between two finger parts 38 , 39 . the finger parts 38 , 39 which are each circumferentially alternately connected to one of the finger holding parts 35 , 36 engage grooves 37 of the circumferential segments 42 . the conical mandrel 43 engages a central recess and when the segments 42 advance axially , it presses radially outwardly for the purpose of calibrating the track regions , with the outer joint part 11 supported on the outer tool 32 . while the above detailed description describes the preferred embodiment of the present invention , the invention is susceptible to modification , variation , and alteration without deviating from the scope and fair meaning of the subjoined claims .