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Singularities of ruled surfaces in ℝ3

Published online by Cambridge University Press:  01 March 2001

SHYUICHI IZUMIYA  and
NOBUKO TAKEUCHI
SHYUICHI IZUMIYA
Affiliation:
Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan. e-mail: [email protected]
NOBUKO TAKEUCHI
Affiliation:
Department of Mathematics, Tokyo Gakugei University, Koganei, Tokyo 184-8501, Japan. e-mail: [email protected]
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Abstract

We study singularities of ruled surfaces in ℝ3. The main result asserts that only cross-caps appear as singularities for generic ruled surfaces.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 130 , Issue 1 , January 2001 , pp. 1 - 11
Copyright
2001 Cambridge Philosophical Society

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