surface of Liouville

surface of Liouville

[¦sər·fəs əv ′lyü‚vēl] (mathematics) A surface that can be assigned parameters u and v such that a linear element ds on the surface is given by ds 2= [ƒ(u) + g (v)][du 2+ dv 2], where ƒ and g are functions of u and v.