Abstract
We find the minimal value of the length in de Sitter space of closed space-like curves with non-vanishing non-space-like geodesic curvature vector. These curves are in correspondence with closed almost-regular canal surfaces, and their length is a natural magnitude in conformal geometry. As an application, we get a lower bound for the total conformal torsion of closed space curves. © de Gruyter 2011.
Original language | English |
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Pages (from-to) | 585-601 |
Journal | Advances in Geometry |
Volume | 11 |
DOIs | |
Publication status | Published - 1 Nov 2011 |