Closed Hypersurfaces of S 4 with Two Constant Curvature Functions

Author： Almeida Sebastião  

Publisher： Springer Publishing Company

ISSN： 1422-6383

Source： Results in Mathematics, Vol.50, Iss.1-2, 2007-04, pp. : 17-26

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Abstract

Let H, K and R be, respectively, the mean curvature, the Gauss-Kronecker curvature and the scalar curvature of a closed hypersurface immersed in the unit sphere . In this paper we completely classify the closed hypersurfaces of where any two of H, K and R are constant.

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