The rigidity of Clifford torus \(S^ 1(\sqrt{\frac1n})\times S^{n-1}(\sqrt{\frac{n-1}n})\)

DOI10.1007/BF02566409zbMath0874.53046WikidataQ126026451 ScholiaQ126026451MaRDI QIDQ1911953

Qing-Ming Cheng

Publication date: 13 June 1996

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/140390

zbMATH Keywords

Clifford torusunit sphereprincipal curvaturesclosed minimal hypersurface

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (16)

THE SCALAR CURVATURE OF MINIMAL HYPERSURFACES IN A UNIT SPHERE ⋮ Complete hypersurfaces with two distinct principal curvatures in a locally symmetric Riemannian manifold ⋮ Minimal hypersurfaces of unit sphere ⋮ Compact Willmore hypersurfaces with two distinct principal curvatures in \(S^{n+1}\) ⋮ Complete hypersurfaces with 𝑤-constant mean curvature in the unit spheres ⋮ First eigenvalue of a Jacobi operator of hypersurfaces with a constant scalar curvature ⋮ New estimates for the first eigenvalue of the Jacobi operator on closed hypersurfaces in Riemannian space forms ⋮ Scalar curvature of minimal hypersurfaces in a sphere ⋮ On rigidity of Clifford torus in a unit sphere ⋮ An estimate for the scalar curvature of constant mean curvature hypersurfaces in space forms ⋮ The pinching constant of minimal hypersurfaces in the unit spheres ⋮ Estimates for the first eigenvalue of Jacobi operator on hypersurfaces with constant mean curvature in spheres ⋮ SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN UNIT SPHERES ⋮ SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN SPHERES ⋮ Complete minimal surfaces in a sphere ⋮ On spectral geometry of minimal parallel submanifolds

This page was built for publication: The rigidity of Clifford torus \(S^ 1(\sqrt{\frac1n})\times S^{n-1}(\sqrt{\frac{n-1}n})\)