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Global bitangency properties of generic closed space curves

Published online by Cambridge University Press:  24 October 2008

Juan J. Nuño Ballesteros  and
M. Carmen Romero Fuster
Juan J. Nuño Ballesteros
Affiliation:
Departament de Matemàtiques i Informàtica, Universitat Jaume I, Spain
M. Carmen Romero Fuster
Affiliation:
Departamento de Matemàtica, Universidade Federal de Viçosa, Brazil
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Abstract

We study bitangency properties of space curves in general position from a global viewpoint. As a consequence we obtain some results on their total numbers of bitangent osculating planes and cross tangents, and prove that in the absence of both, the number of zero torsion points of a curve in general position is a multiple 4.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 112 , Issue 3 , November 1992 , pp. 519 - 526
Copyright
Copyright © Cambridge Philosophical Society 1992

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