Additive manufacturing (AM) techniques allow the preparation of tailor-made structures for specific applications with a high degree of freedom concerning the design. The lithography-based ceramic manufacturing (LCM) technology allows the AM of high-performance alumina and zirconia components. But there are still some restrictions concerning the realizable geometries. The opportunities and limits of the LCM-technology are discussed in the following paper using the example of ceramic heat exchangers. Structures are presented which combine a high surface for heat exchange with a small component volume and low pressure drop.