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math.DG2011★ 2 cited
The geometry of canal surfaces and the length of curves in de Sitter space
Rémi Langevin, Gil Solanes
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 corresponden…
math.DG2011
Space of subspheres and conformal invariants of curves
R. Langevin, J. O'Hara, S. Sakata
A space curve is determined by conformal arc-length, conformal curvature, and conformal torsion, up to Möbius transformations. We use the spaces of osculating circles and spheres t…