RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Math. Ed.: Year: Volume: Issue: Page: Find

 Math. Ed., 2017, Issue 4(84), Pages 20–24 (Mi mo622)

Students and teachers of mathematical specialties

On bounded and unbounded curves in Euclidian space

O. È. Zubelevich

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We consider a curve in $\mathbb{R}^3$ and provide sufficient conditions for the curve to be unbounded in terms of its curvature and torsion. We also present sufficient conditions on the curvatures for the curve to be bounded in $\mathbb{R}^4$.

Full text: PDF file (116 kB)
References: PDF file   HTML file

UDC: 514.752.23 514.752.24
Language:

Citation: O. È. Zubelevich, “On bounded and unbounded curves in Euclidian space”, Math. Ed., 2017, no. 4(84), 20–24

Citation in format AMSBIB
\Bibitem{Zub17} \by O.~\E.~Zubelevich \paper On bounded and unbounded curves in Euclidian space \jour Math. Ed. \yr 2017 \issue 4(84) \pages 20--24 \mathnet{http://mi.mathnet.ru/mo622} `