Browsing by Author "Bergfeldt, Aksel"

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    Minimality-preserving Ribaucour transformations
    (2016-07-06) Bergfeldt, Aksel; University of Gothenburg/Department of Mathematical Science; Göteborgs universitet/Institutionen för matematiska vetenskaper
    The 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.