New examples of imbedded spherical soap bubbles in \(S^ N(1)\)

DOI10.1007/BF01174795zbMath0612.53037OpenAlexW2024698250MaRDI QIDQ1088170

Ivan C. Sterling

Publication date: 1987

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155251

zbMATH Keywords

soap bubblesAlexandrov's theoremspherical n-space

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

• Unnamed Item
• A characteristic property of spheres
• Minimal cones and the spherical Bernstein problem. II
• Minimal cones and the spherical Bernstein problem. I
• Non-rotational minimal spheres and minimizing cones
• On the construction of codimension two minimal immersions of exotic spheres into Euclidean spheres
• Generalized rotational hypersurfaces of constant mean curvature in the euclidean spaces. I
• On generalization of theorems of A. D. Alexandrov and C. Delaunay on hypersurfaces of constant mean curvature
• Minimal cones and the spherical Bernstein problem. III
• A generalization of a theorem of Delaunay
• Minimal submanifolds of low cohomogeneity
• The spherical Bernstein problem in even dimensions
• On the construction of nonequatorial minimal hyperspheres in S ⁿ (1) with stable cones in R ^{n +1}