6533b7dcfe1ef96bd127348d
RESEARCH PRODUCT
The geometry of canal surfaces and the length of curves in de Sitter space
Gil SolanesRémi Langevinsubject
Mathematics - Differential GeometryDe Sitter spaceTorsion (algebra)Magnitude (mathematics)Conformal mapGeometryGeometry and TopologyClosed spaceConformal geometryUpper and lower boundsMathematicsGeodesic curvaturedescription
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.
year | journal | country | edition | language |
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2011-11-01 | advg |