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

Rémi Langevin, Gil Solanes

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)

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 languageEnglish
Pages (from-to)585-601
JournalAdvances in Geometry
Volume11
DOIs
Publication statusPublished - 1 Nov 2011

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