Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
38(1), 183 - 192 (1997)

A Lower Estimate for the Number of Zero-Torsion Points of a Space Curve

M.C. Romero-Fuster, V.D. Sedykh

Departamento Geometría y Topología, Universidad de Valencia, 46100 Burjasot (Valencia) Spain

Department of Mathematics, Moscow State University of Technology, Stankin Vadkovski per. 3a, Moscow 101472 (Russia)

Abstract: We obtain an inequality regarding the numbers of zero-torsion points, zero curvature points, support triangles and the number of segments of a $C^3$-closed embedded space curve lying on the boundary of its convex hull. This generalizes the 4-vertex theorem for space curves.

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