A note on the pinching constant of minimal hypersurfaces with constant scalar curvature in the unit sphere

zbMath0737.53056MaRDI QIDQ1179313

Hongcang Yang, Qing-Ming Cheng

Publication date: 26 June 1992

Published in: Chinese Science Bulletin (Search for Journal in Brave)

zbMATH Keywords

minimal hypersurfaceunit sphereconstant scalar curvaturelength of the second fundamental form

Mathematics Subject Classification ID

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

Related Items (8)

An estimate of the pinching constant of minimal hypersurfaces with constant scalar curvature in the unit sphere ⋮ Unnamed Item ⋮ On Chern's conjecture for minimal hypersurfaces and rigidity of self-shrinkers ⋮ Complete hypersurfaces with 𝑤-constant mean curvature in the unit spheres ⋮ On the second pinching theorem for Willmore hypersurfaces in a sphere ⋮ Minimal hypersurfaces in a nearly Kaehler 6-sphere ⋮ On Closed Minimal Submanifolds in Pinched Riemannian Manifolds ⋮ Closed Willmore minimal hypersurfaces with constant scalar curvature in \(\mathbb{S}^5(1)\) are isoparametric

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