12-65 Oleg Zubelevich

On Boundedness of the Curve Given by Its Curvature and Torsion (106K, pdf) May 28, 12

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

Abstract. We consider a curve in the three dimensional Euclidean space and provide sufficient conditions on the curvature and the torsion for the curve to be unbounded. We also present sufficient conditions on the curvatures for the curve to be bounded in the four dimensional Euclidean space.

Files: 12-65.src( 12-65.keywords , curves3.pdf.mm )