16-63 Oleg Zubelevich

On Bounded and Unbounded Curves determined by their Curvature and Torsion (91K, pdf) Aug 3, 16

Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

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 $\mathbb{R}^4$.

Files: 16-63.src( 16-63.keywords , curves3.pdf.mm )