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TOPOLOGICAL CLASSIFICATION OF THE TANGENT DEVELOPABLES OF SPACE CURVES

Published online by Cambridge University Press:  08 January 2001

GOO ISHIKAWA
GOO ISHIKAWA
Affiliation:
Department of Mathematics, Hokkaido University, Sapporo 060, Japan; ishikawa@math.sci.hokudai.ac.jp
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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
Information
Journal of the London Mathematical Society , Volume 62 , Issue 2 , October 2000 , pp. 583 - 598
Copyright
The London Mathematical Society 2000

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