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A four vertex theorem for strictly convex space curves

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Publication:1207031
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DOI10.1007/BF01231004zbMath0776.53002OpenAlexW1983163855MaRDI QIDQ1207031

María Carmen Romero Fuster, Juan Jose Nuño-Ballesteros

Publication date: 4 May 1993

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01231004


zbMATH Keywords

strictly convexfour vertex theoremEuclidean space \(E^ 3\)point with vanishing torsionsmooth simple closed curve


Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Convex sets in (3) dimensions (including convex surfaces) (52A15)


Related Items (2)

On curves of constant torsion. I ⋮ Controlling torsion sign




Cites Work

  • Unnamed Item
  • Convexly generic curves in \(\mathbb{R}^3\)
  • A generalization of the two-vertex theorem for space curves
  • On Closed Twisted Curves




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