Sectional curvatures of minimal hypersurfaces immersed in $S^{2n+1}$

He Kim; Seong Ahn; Masahiro Kon

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We investigate curvature properties of hypersurfaces in semi-Riemannian spaces of constant curvature with the minimal polynomial of the second fundamental tensor of second degree. We present suitable examples of hypersurfaces.

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A fundamental question about hypersurfaces in the Euclidean space is to decide if the sphere is the only compact hypersurface (embedded or immersed) with constant higher order mean curvature H, for some r = 1, ..., n.

Displaying similar documents to “Sectional curvatures of minimal hypersurfaces immersed in S 2 n + 1 ”

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Displaying similar documents to “Sectional curvatures of minimal hypersurfaces immersed in $S^{2 n + 1}$ ”

Constant mean curvature hypersurfaces with constant $δ$ -invariant.

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