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Matematicheskie Zametki, 2008, Volume 83, Issue 5, Pages 757–762
DOI: https://doi.org/10.4213/mzm4718 (Mi mzm4718) 		 
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
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DOI: https://doi.org/10.4213/mzm4718
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
English version:
Mathematical Notes, 2008, Volume 83, Issue 5, Pages 688–692
DOI: https://doi.org/10.1134/S000143460805012X
Bibliographic databases:
UDC: 514
Language: Russian
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
Citation in format AMSBIB
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