On flat tensor product surfaces

Wendy Goemans () and Ignace Van de Woestyne ()
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Wendy Goemans: Hogeschool-Universiteit Brussel (HUB), Belgium
Ignace Van de Woestyne: Hogeschool-Universiteit Brussel (HUB), Belgium

No 2011/17, Working Papers from Hogeschool-Universiteit Brussel, Faculteit Economie en Management

Abstract: In 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.

Keywords: flat surface; tensor product surface; spiral; constant curvature curve (search for similar items in EconPapers)
Pages: 10 page
Date: 2011-09
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Persistent link: https://EconPapers.repec.org/RePEc:hub:wpecon:201117

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