On average curvatures of convex curves in surfaces

DOI10.3836/tjm/1244208685zbMath1055.53023OpenAlexW2076253008MaRDI QIDQ1429187

Minoru Tanaka, Jin Lu

Publication date: 18 May 2004

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208685

zbMATH Keywords

surfaceconvex curveaverage curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Convex sets in (2) dimensions (including convex curves) (52A10) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Cites Work

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• The role of total curvature on complete noncompact Riemannian 2- manifolds
• On the cut loci of a von Mangoldt's surface of revolution
• Average curvature of convex curves in 𝐻²

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