Are there examples of Zoll spheres which are not the surfaces of revolution?



Zoll sphere which is not a surface of revolution
You might need to be more precise in your question. As BS noted there *exist* Zoll $2$-spheres that are not surfaces of revolution, but you may have wanted to know whether there are any *explicitly known* examples. The answer to this is also 'yes'. For some examples, see Kiyohara, *Two-dimensional geodesic flows having first integrals of higher degree*, Math. Ann., 320 (2001), 487–505.


