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On the total torsion of certain nonclosed sphere curves

Published online by Cambridge University Press:  17 April 2009

Stephen M. Zemyan
Stephen M. Zemyan
Affiliation:
Department of Mathematics, The Pennsylvania State University, Mont Alto Campus, Mont Alto, Pennsylvania 17237, United States of America.
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Abstract

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In this note, we establish some results concerning the total torsion and the total absolute torsion of certain non-closed stereographically projected analytic curves. The method of proof involves only elementary techniques of integration, a periodicity argument and Liouville's Theorem.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 36 , Issue 1 , August 1987 , pp. 39 - 47
Copyright
Copyright © Australian Mathematical Society 1987

References

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