\(n\)-dimensional area of minimal rotational hypersurfaces in spheres

DOI10.1016/J.NA.2015.05.017zbMath1327.53078OpenAlexW607281199MaRDI QIDQ495230

Guoxin Wei, Oscar M. Perdomo

Publication date: 9 September 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.05.017

zbMATH Keywords

minimal rotational hypersurfaces

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 (3)

Symmetric mean curvature flow on the \(n\)-sphere ⋮ A lower bound for 𝐿₂ length of second fundamental form on minimal hypersurfaces ⋮ A lower bound for areas of the rotational hypersurfaces with 𝐻ₘ=0 in the spheres

Cites Work

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• Embedded constant mean curvature hypersurfaces on spheres
• The scalar curvature of minimal hypersurfaces in spheres
• A sharp bound for the area of minimal surfaces in the unit ball
• Embedded constant mean curvature tori in the three-sphere
• Min-max theory and the Willmore conjecture
• Local rigidity theorems for minimal hypersurfaces
• Minimal varieties in Riemannian manifolds
• Rotational surfaces in \(S^3\) with constant mean curvature
• Rotation Hypersurfaces in Spaces of Constant Curvature
• Heat Equations on Minimal Submanifolds and Their Applications
• ON A DIFFERENTIAL EQUATION RELATED WITH DIFFERENTIAL GEOMETRY
• Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
• On integral inequalities related with a certain nonlinear differential equation

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