Closed 1/2-elasticae in the 2-sphere

DOI10.1007/s00332-022-09860-3OpenAlexW4306734787MaRDI QIDQ2096989

Álvaro Pámpano, Emilio Musso

Publication date: 11 November 2022

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.01096

zbMATH Keywords

critical curvesclosed trajectories\(p\)-elastic curvesBernoulli's bending functionals

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Curves in Euclidean and related spaces (53A04)

Related Items (4)

Instability of closed p-elastic curves in 𝕊2 ⋮ Closed 1/2-elasticae in the hyperbolic plane ⋮ Generalized elastic translating solitons ⋮ A characterization of the catenary under the effect of surface tension

Uses Software

• Mathematica

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