Alexandrov's isodiametric conjecture and the cut locus of a surface

zbMath1341.52012arXiv1406.0811MaRDI QIDQ899703

David Krejčiřík, Pedro Freitas

Publication date: 30 December 2015

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0811

zbMATH Keywords

symmetrizationdiametercut locusellipsoidsconvex surfacesAlexandrov's conjecture

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Geodesics in global differential geometry (53C22) Surfaces in Euclidean and related spaces (53A05) Convex sets in (3) dimensions (including convex surfaces) (52A15) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (1)

Estimate of isodiametric constant for closed surfaces

Uses Software

• Loki

Cites Work

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• A Bound on the Number of Endpoints of the Cut Locus
• Extreme points of the distance function on convex surfaces
• The Lipschitz continuity of the distance function to the cut locus
• A Note on Isometric Embeddings of Surfaces of Revolution
• Visualizing Ricci Flow of Manifolds of Revolution

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