Constant mean curvature invariant surfaces and extremals of curvature energies

DOI10.1016/J.JMAA.2018.02.058zbMath1388.49045OpenAlexW2789402389WikidataQ130173073 ScholiaQ130173073MaRDI QIDQ1746687

Álvaro Pámpano, Óscar J. Garay, Josu Arroyo

Publication date: 25 April 2018

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.2018.02.058

zbMATH Keywords

mean curvatureEuler-Lagrange equationCMC surfaceextremal curve3-space formcurve's geometric evolution

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

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Delaunay surfaces in S3(ρ) ⋮ Instability of closed p-elastic curves in 𝕊2 ⋮ Closed 1/2-elasticae in the hyperbolic plane ⋮ A relation between cylindrical critical points of Willmore-type energies, weighted areas and vertical potential energies ⋮ A characterization of the catenary under the effect of surface tension ⋮ Critical tori for mean curvature energies in Killing submersions ⋮ Rotational surfaces of constant astigmatism in space forms ⋮ A variational characterization of profile curves of invariant linear Weingarten surfaces ⋮ Stationary soap films with vertical potentials ⋮ Closed 1/2-elasticae in the 2-sphere

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