Six Proofs of the Fáry–Milnor Theorem

DOI10.1080/00029890.2023.2286224arXiv2203.15137OpenAlexW4389775419MaRDI QIDQ6124352

Stephan Stadler, Anton Petrunin

Publication date: 27 March 2024

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

Full work available at URL: https://arxiv.org/abs/2203.15137

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Cites Work

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• The structure of minimal surfaces in \(\mathrm{CAT}(0)\) spaces
• Integral curvature of a curve in \(n\)-dimensional Euclidean space
• The theorem of Fáry and Milnor for Hadamard manifolds
• Embeddedness of minimal surfaces with total boundary curvature at most \(4\pi\)
• On the total curvature of knots
• The Fary-Milnor theorem in Hadamard manifolds
• The second hull of a knotted curve
• Sur la courbure totale d'une courbe gauche faisant un nœud
• On embeddings of spheres

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