Delaunay surfaces in S3(ρ)

DOI10.2298/FIL1904191AzbMath1499.53030MaRDI QIDQ5080730

Álvaro Pámpano, Óscar J. Garay, Josu Arroyo

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

3-spheremean curvaturecritical curvesrotational surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (8)

Instability of closed p-elastic curves in 𝕊2 ⋮ Channel linear Weingarten surfaces in space forms ⋮ Closed 1/2-elasticae in the hyperbolic plane ⋮ A characterization of the catenary under the effect of surface tension ⋮ Critical tori for mean curvature energies in Killing submersions ⋮ A variational characterization of profile curves of invariant linear Weingarten surfaces ⋮ Closed biconservative hypersurfaces in spheres ⋮ Closed 1/2-elasticae in the 2-sphere

Cites Work

• Unnamed Item
• Embedded minimal tori in \(S^3\) and the Lawson conjecture
• Embedded constant mean curvature hypersurfaces on spheres
• The total squared curvature of closed curves
• Constant mean curvature invariant surfaces and extremals of curvature energies
• Binormal motion of curves with constant torsion in 3-spaces
• On the classification of constant mean curvature tori
• Embedded constant mean curvature tori in the three-sphere
• Some interior regularity theorems for minimal surfaces and an extension of Bernstein's theorem
• Complete minimal surfaces in \(S^ 3\)
• The unknottedness of minimal embeddings
• Rotational surfaces in \(S^3\) with constant mean curvature
• Rotation Hypersurfaces in Spaces of Constant Curvature

This page was built for publication: Delaunay surfaces in S3(ρ)