fuel 3 is in particular that the fuel lance 2 presents only a slight interference with the flow whereby this interference is located only on the side wall 6 of the mixing zone 11 and no longer as in the past centrally in the main flow in an advantageous embodiment the fuel lance 2 is set in the shape of a sphere or ellipsoid extending in the main flow direction of the hot gas 5 into the sidewall 6 of the combustion chamber 1 and projects into the interior of the mixing zone 11 of the combustion chamber 1 with a reduced surface area of the contact point between the fuel lance 2 and the hot gas flow it is possible to advantageously minimize the cooling of the fuel lance 2 as well as increase the stability of the combustion chamber 1 overall in practice this means that the reduced surface of the fuel lance 2 can be easily cooled an improved seal to prevent leakages is achieved in that the break through instead of a long hole as known in the past can be made correspondingly smaller i e circular or ellipsoid which means a reduction of the leakage quantity overall according to an advantageous embodiment of the method according to the invention the fuel 3 and the possibly present support air 4 are injected in different fuel support air mixture jets 7 into the mixing zone 11 of the combustion chamber 1 whereby the different fuel support mixture jets 7 are oriented in different sectors or different target spaces within the mixing zone 11 of the combustion chamber 1.