Moon in a Puddle and the Four-Vertex Theorem

DOI10.1080/00029890.2022.2041355zbMath1493.53003arXiv2107.08455OpenAlexW3184709768WikidataQ113853657 ScholiaQ113853657MaRDI QIDQ5075879

Sergio Zamora Barrera, Anton Petrunin

Publication date: 12 May 2022

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.08455

zbMATH Keywords

four-vertex theoremclosed smooth plane curve

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Related Items

Convergence and Riemannian bounds on Lagrangian submanifolds ⋮ A note on the convex body isoperimetric conjecture in the plane

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Osculating curves: around the Tait-Kneser theorem
• An inequality for the maximum curvature through a geometric flow
• Renormalized area and properly embedded minimal surfaces in hyperbolic 3-manifolds
• Disks in Curves of Bounded Convex Curvature
• The Four-or-More Vertex Theorem
• Ramification conjecture and Hirzebruch’s property of line arrangements

This page was built for publication: Moon in a Puddle and the Four-Vertex Theorem