Sphere-foliated minimal and constant mean curvature hypersurfaces in space forms and Lorentz-Minkowski space.

DOI10.1216/rmjm/1034968429zbMath1043.53055OpenAlexW2050285948MaRDI QIDQ1414963

Sung-Ho Park

Publication date: 3 December 2003

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol32-3/CONT32-3/CONT32-3.html

zbMATH Keywords

minimal hypersurfaceconstant mean curvaturefoliation by spheres

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Foliations (differential geometric aspects) (53C12)

Related Items (6)

ON GEOMETRY OF SIMILARITY KINEMATIC MOTION OF PEAR-SHAPED QUARTIC ⋮ Rigidity theorems of minimal surfaces foliated by similar planar curves ⋮ Some geometric properties of translating solitons 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 $\boldsymbol {\mathbb{R}^{m+n}}$ ⋮ Symmetry about circles and constant mean curvature surface

Cites Work

• Unnamed Item
• Surfaces of revolution with constant mean curvature in Lorentz-Minkowski space
• The surfaces of Delaunay
• Sphere-foliated constant mean curvature submanifolds
• Constant mean curvature surfaces foliated by circles in Lorentz-Minkowski space
• Constant mean curvature hypersurfaces foliated by spheres
• Minimal hypersurfaces foliated by spheres
• Complete minimal surfaces in \(S^ 3\)

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