The surfaces of Delaunay
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Publication:1084340
DOI10.1007/BF03023575zbMath0605.53002OpenAlexW2140611116MaRDI QIDQ1084340
Publication date: 1987
Published in: The Mathematical Intelligencer (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03023575
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Surfaces in Euclidean and related spaces (53A05) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)
Related Items (29)
Stability of Delaunay surface solutions to capillary problems ⋮ Complete manifolds with bounded curvature and spectral gaps ⋮ Cylindrical surfaces of Delaunay ⋮ Diameter bounds for convex surfaces with pinched mean curvature ⋮ On the associated family of Delaunay surfaces ⋮ Lie algebra symmetry analysis of the Helfrich and Willmore surface shape equations ⋮ End-to-end gluing of constant mean curvature hypersurfaces ⋮ \(S^{1}\)-equivariant CMC-hypersurfaces in the hyperbolic 3-space and the corresponding Lagrangians ⋮ Isometric deformations of the \({\mathcal K}^{\frac{1}{4}}\)-flow translators in \(\mathbb{R}^3\) with helicoidal symmetry ⋮ Conformal vector fields on pseudo-Riemannian spaces ⋮ A survey of Delaunay surfaces with applications in capillary surfaces ⋮ Curves whose curvature depends on their position and null curves ⋮ Annular type surfaces with fixed boundary and with prescribed, almost constant mean curvature ⋮ Sphere-foliated minimal and constant mean curvature hypersurfaces in space forms and Lorentz-Minkowski space. ⋮ Some recent developments in differential geometry ⋮ Non-convex CMC spheres ⋮ Bifurcating extremal domains for the first eigenvalue of the Laplacian ⋮ Isolated singularities for a semilinear equation for the fractional Laplacian arising in conformal geometry ⋮ Proof of the double bubble conjecture in \(\mathbb R^n\) ⋮ Rotationally symmetric solutions to the Cahn-Hilliard equation ⋮ Lagrangian surfaces with circle symmetry in the complex two-space ⋮ Generalized constant ratio surfaces in \(\mathbb E^3\) ⋮ Streams of cylindrical water ⋮ Boundary tracing and boundary value problems: II. Applications ⋮ On symmetries of constant mean curvature surfaces. I: General theory ⋮ Surfaces of revolution with prescribed mean and skew curvatures in Lorentz-Minkowski space ⋮ Unnamed Item ⋮ Self-intersection of nod(oid)al curves ⋮ On the non-existence of compact surfaces of genus one with prescribed, almost constant mean curvature, close to the singular limit
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