Abstract: A heat-insulating lining for a gas turbine which consists of a mat formed of ceramic fibers that is provided on its side facing the hot gas with a metal-oxide-containing layer, especially Al.sub.2 O.sub.3. The mat to be provided with the ceramic layer should possess a gross density of 350 to 450 kg/m.sup.3 and the fibers in the mat which are in contact with the metal oxide-containing layer are to be predominantly so oriented that the longitudinal axis of the fibers forms an angle of 30.degree. to 90.degree. with the metal oxide-containing layer. It is preferred if the fibers form an approximately right angle with the metal oxide-containing layer. The thus made coated heat-insulating linings possess a good mechanical stability with respect to the hot gases as well as an adequate thermo-shock resistance.