Mathematics – Differential Geometry
Scientific paper
2011-08-11
Mathematics
Differential Geometry
Scientific paper
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.
Langevin Rémi
Solanes Gil
No associations
LandOfFree
The geometry of canal surfaces and the length of curves in de Sitter space does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The geometry of canal surfaces and the length of curves in de Sitter space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The geometry of canal surfaces and the length of curves in de Sitter space will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-275823