On flat tensor product surfaces
AbstractIn this article, surfaces are studied that arise from taking the tensor product of two curves. More specific, classification theorems are presented of flat tensor product surfaces of two semi-Euclidean planar curves. Also, using pseudospherical curves, pseudohyperbolical curves and curves having all their curvatures constant, some examples are constructed of flat tensor product surfaces of two curves in arbitrary dimensional (semi-)Euclidean spaces.
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Bibliographic InfoPaper provided by Hogeschool-Universiteit Brussel, Faculteit Economie en Management in its series Working Papers with number 2011/17.
Length: 10 page
Date of creation: Sep 2011
Date of revision:
flat surface; tensor product surface; spiral; constant curvature curve;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-02-01 (All new papers)
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