The invention relates to a method for producing flexible and porous adsorbents based on oxidic and/or non-oxidic ceramic material containing carbon. The inventive method is characterized by the following steps: (a) producing a flat base matrix whose constituents are held together essentially by hydrogen bridge bonds, on a machine suited for producing paper; (b) applying and/or impregnating the surface of the base matrix, on one or both sides, with polymeric addition agents; (c) treating the base matrix under pyrolysis conditions at an increased temperature in an atmosphere containing essentially no oxygen. The invention also relates to membranes that can be produced according to the aforementioned method, to flexible material that can be produced by using these membranes, and to their use for separating and purifying fluids.