Geodesic
On bounded and unbounded curves in Euclidian space
Matematičeskoe obrazovanie, Tome 84 (2017) no. 4, pp. 20-24

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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 $\mathbb{R}^4$. 
@article{MO_2017_84_4_a3,
     author = {O. \`E. Zubelevich},
     title = {On bounded and unbounded curves in {Euclidian} space},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {20--24},
     publisher = {mathdoc},
     volume = {84},
     number = {4},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MO_2017_84_4_a3/}
}
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O. È. Zubelevich. On bounded and unbounded curves in Euclidian space. Matematičeskoe obrazovanie, Tome 84 (2017) no. 4, pp. 20-24. http://geodesic.mathdoc.fr/item/MO_2017_84_4_a3/