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Minimality-preserving Ribaucour transformations

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Title: Minimality-preserving Ribaucour transformations
Authors: Bergfeldt, Aksel
Issue Date: 6-Jul-2016
Degree: Student essay
Abstract: 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.
Appears in Collections:Masteruppsatser



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