Critical curves for a Santaló problem in 3-space forms

DOI10.1016/j.jmaa.2012.08.041zbMath1256.49059OpenAlexW2064888173MaRDI QIDQ691811

Michael Pauley, Óscar J. Garay

Publication date: 4 December 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.08.041

zbMATH Keywords

Euler-Lagrange equationsreal space formrotation surfaceFrenet curvature dependent Lagrangianskilling field along a curveminimizing curves

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Existence theories for optimal control problems involving partial differential equations (49J20) Curves in Euclidean and related spaces (53A04) Manifolds and measure-geometric topics (49Q99)

Related Items (3)

Hypersurface constrained elasticae in Lorentzian space forms ⋮ Extremal curves for weighted elastic energy in surfaces of 3-space forms ⋮ Intrinsic equations for a relaxed elastic line of second kind on an oriented surface

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