Constant mean curvature hypersurfaces foliated by spheres

DOI10.1016/S0926-2245(99)00037-6zbMath0947.53030OpenAlexW2114810079WikidataQ115337399 ScholiaQ115337399MaRDI QIDQ1566813

Rafael López

Publication date: 12 November 2000

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0926-2245(99)00037-6

zbMATH Keywords

constant mean curvatureAlexandrov reflection principlehypersurface of revolution

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) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

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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 ⋮ CAUSAL CHARACTERS OF ZERO MEAN CURVATURE SURFACES OF RIEMANN TYPE IN THE LORENTZ-MINKOWSKI 3-SPACE ⋮ On the existence of space-like constant mean curvature surfaces spanning two circular contours in Minkowski space ⋮ Some geometric properties of translating solitons in Euclidean space ⋮ Timelike surfaces with constant mean curvature in Lorentz three-space ⋮ Local study of scalar curvature of two-dimensional surfaces obtained by the motion of circle

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