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LIOUVILLE SURFACE

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.

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© Robert FERRÉOL 2017