The converse of the four vertex theorem

DOI10.1090/S0002-9939-05-07788-9zbMath1229.53005MaRDI QIDQ4663468

Björn E. J. Dahlberg

Publication date: 31 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Related Items (6)

A perturbation method for spinorial Yamabe type equations on \(S^m\) and its application ⋮ Geometric conditions for the existence of a rolling without twisting or slipping ⋮ Closing curves by rearranging arcs ⋮ Approximations of periodic functions to \(\mathbb R ^n\) by curvatures of closed curves ⋮ A discrete four vertex theorem ⋮ Total torsion of curves in three-dimensional manifolds

Cites Work

• The converse to the four vertex theorem
• Ein einfacher Beweis des Vierscheitelsatzes der ebenen Kurven
• Vertices of plane curves

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