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A Property of the Curvature and Torsion of a Regular Family of Curves in $E^n$
M. G. Szajewska Institute of Mathematics, University of Bialystok
Abstract:
In is proved that, for a regular family of algebraic curves in $E^n$, there exists a sequence of points at which all but the last curvature of the curves simultaneously tend to zero.
Keywords:
regular family of algebraic curves, mean curvature, Gaussian curvature, curvature and torsion of an algebraic curve, Bianchi coordinate system.
Received: 31.10.2006 Revised: 01.10.2007
Citation:
M. G. Szajewska, “A Property of the Curvature and Torsion of a Regular Family of Curves in $E^n$”, Mat. Zametki, 83:5 (2008), 757–762; Math. Notes, 83:5 (2008), 688–692
Linking options:
https://www.mathnet.ru/eng/mzm4718https://doi.org/10.4213/mzm4718 https://www.mathnet.ru/eng/mzm/v83/i5/p757
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Abstract page: | 409 | Full-text PDF : | 204 | References: | 36 | First page: | 5 |
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