Bergfeldt, Aksel2016-07-062016-07-062016-07-06http://hdl.handle.net/2077/45038The Ribaucour transformation classically relates surfaces via a sphere congruence that preserves lines of curvature. In this report, we generalise the concept to submanifolds of arbitrary dimension and codimension, and formulate a condition for minimality conservation. In addition, the transformation is carried out on an example surface.engtext