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Singularities of ruled surfaces in ℝ3

Published online by Cambridge University Press:  01 March 2001

SHYUICHI IZUMIYA
Affiliation:
Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan. e-mail: izumiya@math.sci.hokudai.ac.jp
NOBUKO TAKEUCHI
Affiliation:
Department of Mathematics, Tokyo Gakugei University, Koganei, Tokyo 184-8501, Japan. e-mail: nobuko@u-gakugei.ac.jp

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
Copyright
2001 Cambridge Philosophical Society

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