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Ruled surfaces of finite type

Published online by Cambridge University Press:  17 April 2009

Bang-Yen Chen ,
Franki Dillen ,
Leopold Verstraelen  and
Luc Vrancken
Bang-Yen Chen
Affiliation:
Michigan State University, Department of Mathematics, Well's Hall, East Lansing, MI 48824, United States of America
Franki Dillen
Affiliation:
Michigan State University, Department of Mathematics, Well's Hall, East Lansing, MI 48824, United States of America
Leopold Verstraelen
Affiliation:
Michigan State University, Department of Mathematics, Well's Hall, East Lansing, MI 48824, United States of America
Luc Vrancken
Affiliation:
Katholieke Universiteit Leuven, Departement Wiskunde, Celestijnenlaan 200 B, B-3030 Leuven, Belgium
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Abstract

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We show that a ruled surface of finite type in a Euclidean space is a cylinder on a curve of finite type or a helicoid in Euclidean 3-space.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 42 , Issue 3 , December 1990 , pp. 447 - 453
Copyright
Copyright © Australian Mathematical Society 1990

References

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