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A PROPERTY OF CLOSED FINITE TYPE CURVES

Part of: Classical differential geometry

Published online by Cambridge University Press:  01 February 2008

MIROSLAVA PETROVIĆ-TORGAŠEV
MIROSLAVA PETROVIĆ-TORGAŠEV*
Affiliation:
University of Kragujevac, Faculty of Science, Radoja Domanovića 12, 34000 Kragujevac, Serbia (email: mirapt@kg.ac.yu)
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Abstract

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In the paper we prove that any closed finite type curve in the Euclidean space En(n≥2) lies in a null-space of a non-trivial polynomial P=P(x1,…,xn) of variables x1,…,xn, and thus lies on a surface of finite degree.

Keywords

finite type curvesEuclidean spaces

MSC classification

Secondary: 53A04: Curves in Euclidean space
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 77 , Issue 1 , February 2008 , pp. 145 - 149
Copyright
Copyright © Australian Mathematical Society 2008

References

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