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TOPOLOGICAL CLASSIFICATION OF THE TANGENT DEVELOPABLES OF SPACE CURVES

Published online by Cambridge University Press:  08 January 2001

GOO ISHIKAWA
Affiliation:
Department of Mathematics, Hokkaido University, Sapporo 060, Japan; [email protected]
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Abstract

The tangent developables of space curves are classified locally and topologically. It turns out that only seven different tangent developables arise, except for very degenerate cases. An extension of the known classification due to Cleave, Shcherbak and Mond is given.

Type
Research Article
Copyright
The London Mathematical Society 2000

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