A characterization of the Clifford torus

DOI10.1007/BF02844342zbMath0962.53038OpenAlexW2059256389MaRDI QIDQ5916328

Irwen Válle Guadalupe, Aldir Brasil Junior, J. A. Delgado

Publication date: 18 June 2001

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02844342

zbMATH Keywords

Clifford torusindexconstant scalar curvatureminimal 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 (8)

On the stability index of hypersurfaces with constant mean curvature in spheres ⋮ Stability index jump for constant mean curvature hypersurfaces of spheres ⋮ Quantum gravity through geometric algebra ⋮ Bifurcation of constant mean curvature tori in Euclidean spheres ⋮ A new bound on the Morse index of constant mean curvature tori of revolution in \(\mathbb S^3\) ⋮ Estimate for index of hypersurfaces in spheres with null higher order mean curvature ⋮ On stability and index of minimal submanifolds ⋮ Minimal hypersurfaces with low index in the real projective space

Cites Work

• Stability of hypersurfaces with constant \(r\)-mean curvature
• Minimal varieties in Riemannian manifolds
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Minimal Surfaces with Low Index in the Three-Dimensional Sphere
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length

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