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• W2060080441 abstract "In this paper, we compute Lr (Sr) for an isometric immersion x : Mn → $overline M^{n+1}_c$, from an n-dimensional Riemannian manifold Mn into an (n+1)-dimensional Riemannian manifold $overline M^{n+1}_c$, of constant sectional curvature c. Here, by Lr we mean the linearization of the second order differential operator associated to the (r+1)-th elementary symmetric function Sr+1 on the eigenvalues of the second fundamental form A of x. The resulting formulae are then applied to study how the behavior of higher-order mean curvature functions of Mn influence its geometry." @default.
• W2060080441 created "2016-06-24" @default.
• W2060080441 creator A5026978825 @default.
• W2060080441 date "2006-06-01" @default.
• W2060080441 modified "2023-09-27" @default.
• W2060080441 title "On hypersurfaces into Riemannian spaces of constant sectional curvature" @default.
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• W2060080441 doi "https://doi.org/10.2996/kmj/1151936435" @default.
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