Institute of Mathematics for Industry

Seminar



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Ribaucour coordinates


Hold Date 2018-02-02 16:00~2018-02-02 17:30

Place Lecture Room M W1-C-513, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Udo Hertrich-Jeromin(Vienna University of Technology)

Abstract:
We shall discuss a variety of results for the Ribaucour transformation of (smooth and discrete) curves, in particular, we will discuss a result on the reduction of the ambient dimension via Ribaucour transformation that also holds in higher dimensions and yields the classical notion of Ribaucour coordinates for surfaces. Using a Bianchi permutability result,this dimension reduction leads to an interpolation result for the Ribaucour transformation, hence to a method to construct (semi-)discrete principal nets from boundary data.