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A generalization of a theorem of Delaunay to rotational W-hypersurfaces of \(\sigma _{\ell}\)-type in \(H^{n+1}\) and \(S^{n+1}\)

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Publication:1067229
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DOI10.2140/pjm.1987.127.187zbMath0579.53041OpenAlexW2061026200MaRDI QIDQ1067229

Ivan C. Sterling

Publication date: 1987

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1987.127.187


zbMATH Keywords

Delaunay's theoremhyperbolic \((n+1)\)-spacerolling constructionrotational W-hypersurfacesspherical \((n+1)\)-space


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)


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Nonnegatively curved hypersurfaces with free boundary on a sphere ⋮ CMC hypersurfaces on Riemannian and semi-Riemannian manifolds ⋮ Constant mean curvature invariant surfaces and extremals of curvature energies ⋮ On the surfaces of revolution with constant mean curvature in the hyperbolic space




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