Torsion of locally convex curves

DOI10.1090/proc/14367zbMath1409.53007arXiv1704.00081OpenAlexW2609754130WikidataQ129218917 ScholiaQ129218917MaRDI QIDQ4621379

Mohammad Ghomi

Publication date: 12 February 2019

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

Full work available at URL: https://arxiv.org/abs/1704.00081

zbMATH Keywords

inflectiontorsionvertexosculating planefour vertex theoremtennis ball theorem

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04) Convex sets in (3) dimensions (including convex surfaces) (52A15) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (5)

Total torsion of three-dimensional lines of curvature ⋮ Starshaped sets ⋮ Inflection points on 3D curves ⋮ Shortest closed curve to inspect a sphere ⋮ The twelve surfaces of Darboux and the triality

Cites Work

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• Boundary torsion and convex caps of locally convex surfaces
• A theorem on four vertices of a convex space curve
• Global properties of spherical curves
• Theorem on four support vertices of a polygonal line
• Strictly convex submanifolds and hypersurfaces of positive curvature.
• Tangent lines, inflections, and vertices of closed curves
• On curves with nonnegative torsion
• On Closed Twisted Curves
• Four Vertices of a Convex Space Curve

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