Minimal hypersurfaces foliated by spheres

DOI10.1307/mmj/1029004332zbMath0725.53061OpenAlexW2065056131MaRDI QIDQ2276778

William C. Jagy

Publication date: 1991

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029004332

zbMATH Keywords

minimal hypersurfacesurface of revolutionintersection with hyperplanes

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)

Related Items (15)

Characterizing small spheres in a unit sphere by Fischer-Marsden equation ⋮ Index and topology of minimal hypersurfaces in \(\mathbb {R}^n\) ⋮ Translating solitons for the inverse mean curvature flow ⋮ Riemann zero mean curvature examples in Lorentz–Minkowski space ⋮ Translating solitons foliated by spheres ⋮ Sphere-foliated minimal and constant mean curvature hypersurfaces in space forms and Lorentz-Minkowski space. ⋮ Surfaces of constant Gauss curvature in Lorentz-Minkowski three-space ⋮ Special Weingarten surfaces foliated by circles ⋮ Rigidity theorems of minimal surfaces foliated by similar planar curves ⋮ Generalizations of the Choe-Hoppe helicoid and Clifford cones in Euclidean space ⋮ Existence and asymptotic behavior of helicoidal translating solitons of the mean curvature flow ⋮ $\boldsymbol{O(m) \times O(n)}$ -invariant homothetic solitons for inverse mean curvature flow in $\boldsymbol {\mathbb{R}^{m+n}}$ ⋮ Sphere-foliated constant mean curvature submanifolds ⋮ Geometry--5 ⋮ Foliations, submanifolds, and mixed curvature

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