Joseph Liouville (1809-1882): French mathematician. See: http://fr.scribd.com/doc/52993838/72/Liouville-surfaces

A Liouville surface is a surface that can have a parametrization for which the first fundamental quadratic form is reduced to the form .

Example: the surfaces of revolution and the surfaces that are applicable to them.

They were studied by Liouville because of the fact that their geodesics can be obtained by quadrature.
 
 

next surface

previous surface

2D curves

3D curves

surfaces

fractals

polyhedra

© Robert FERRÉOL  2017