The total absolute curvature of nonclosed curves in \(S^2\)

DOI10.1007/BF03322994zbMath1064.53002OpenAlexW2121671470MaRDI QIDQ1885226

Kazuyuki Enomoto, Jin-ichi Itoh

Publication date: 28 October 2004

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322994

zbMATH Keywords

geodesic curvaturespherical curvetotal absolute curvature

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Related Items (3)

The total absolute curvature of nonclosed curves in \(S^2\). II ⋮ The total mixed curvature of open curves in \(E^3\) ⋮ The total absolute curvature of open curves in \(E^{3}\)

Cites Work

• Unnamed Item
• On the total absolute curvature of closed curves in spheres
• The isoperimetric inequality and the total absolute curvature of closed curves in spheres
• The influence of elasticity on analysis: The classic heritage
• On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents
• Non-Euclidean Elastica

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