The geometry of canal surfaces and the length of curves in de Sitter space

作者:Langevin Remi*; Solanes Gil
来源:Advances in Geometry, 2011, 11(4): 585-601.
DOI:10.1515/ADVGEOM.2011.026

摘要

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.

  • 出版日期2011-11