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December 1993 Ruled Surfaces and Tubes with Finite Type Gauss Map
Christos BAIKOUSSIS, Bang-yen CHEN, Leopold VERSTRAELEN
Tokyo J. Math. 16(2): 341-349 (December 1993). DOI: 10.3836/tjm/1270128488

Abstract

We prove that cylinders over curves of finite type and planes are the only ruled surfaces in Euclidean spaces with finite type Gauss map and circular cylinders are the only tubes in Euclidean 3-space with finite type Gauss map.

Citation

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Christos BAIKOUSSIS. Bang-yen CHEN. Leopold VERSTRAELEN. "Ruled Surfaces and Tubes with Finite Type Gauss Map." Tokyo J. Math. 16 (2) 341 - 349, December 1993. https://doi.org/10.3836/tjm/1270128488

Information

Published: December 1993
First available in Project Euclid: 1 April 2010

zbMATH: 0798.53055
MathSciNet: MR1247657
Digital Object Identifier: 10.3836/tjm/1270128488

Rights: Copyright © 1993 Publication Committee for the Tokyo Journal of Mathematics

Vol.16 • No. 2 • December 1993
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