On minimal hypersurfaces with constant scalar curvatures in \(S^ 4\)
From MaRDI portal
Publication:688588
DOI10.4310/JDG/1214453898zbMath0838.53046OpenAlexW1503799012WikidataQ115180213 ScholiaQ115180213MaRDI QIDQ688588
Publication date: 4 June 1996
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1214453898
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (27)
An intrinsic rigidity theorem for closed minimal hypersurfaces in \(\mathbb{S}^5\) with constant nonnegative scalar curvature ⋮ Classification of Möbius minimal and Möbius isotropic hypersurfaces in \(\mathbb{S}^5\) ⋮ On spectral characterizations of minimal hypersurfaces in a sphere ⋮ The second pinching theorem for hypersurfaces with constant mean curvature in a sphere ⋮ An optimal gap theorem for scalar curvature of CMC hypersurfaces in a sphere ⋮ A new gap for complete hypersurfaces with constant mean curvature in space forms ⋮ A note on the Chern conjecture in dimension four ⋮ On the principal curvatures of complete minimal hypersurfaces in space forms ⋮ On Chern's conjecture for minimal hypersurfaces and rigidity of self-shrinkers ⋮ On the Chern conjecture for isoparametric hypersurfaces ⋮ An isoperimetric inequality of minimal hypersurfaces in spheres ⋮ Complete hypersurfaces with 𝑤-constant mean curvature in the unit spheres ⋮ On the second pinching theorem for Willmore hypersurfaces in a sphere ⋮ Ancient solutions to mean curvature flow for isoparametric submanifolds ⋮ A new characterization of the Clifford torus via scalar curvature pinching ⋮ Unnamed Item ⋮ On rigidity of Clifford torus in a unit sphere ⋮ A sufficient condition for a hypersurface to be isoparametric ⋮ On closed minimal hypersurfaces with constant scalar curvature in \(\mathbb{S}^7\) ⋮ Minimal submanifolds in \(\mathbb{S}^{p-3}\) with constant scalar curvature ⋮ Complete self-shrinkers of the mean curvature flow ⋮ A Möbius rigidity of compact Willmore hypersurfaces in \(\mathbb{S}^{n+1}\) ⋮ On the generalized Chern conjecture for hypersurfaces with constant mean curvature in a sphere ⋮ Rigidity of the Hopf fibration ⋮ A lower bound for 𝐿₂ length of second fundamental form on minimal hypersurfaces ⋮ Global rigidity theorems for submanifolds with parallel mean curvature ⋮ Closed Willmore minimal hypersurfaces with constant scalar curvature in \(\mathbb{S}^5(1)\) are isoparametric
This page was built for publication: On minimal hypersurfaces with constant scalar curvatures in \(S^ 4\)