I've always wondered what replaces to rebar in things like this. Does the flexibility in shape allow them to accommodate for that?
More or less the whole idea of concrete stuctures is to use a composite material where the steel (rebar) is used for traction (and shear) and the concrete for compression resistance. (as opposed to other materials such as wood that has resistance to both traction and compression (besides shear) forces.
A fiber-reinforced concrete can (as said in some cases) be considered a form of reinforced (rebar) concrete at a smaller scale and with "fuzzy" (or "diffused") distribution of the reinforcement.
Domes and similar "thin" structures are very suitable for being made with fiber reinforced concrete.