On G-invariant Minimal Hypersurfaces with Constant Scalar Curvatures in S5

Jae-Up So

Original Article

Kyungpook Mathematical Journal 2013; 53(4): 515-540

Published online December 23, 2013

On G-invariant Minimal Hypersurfaces with Constant Scalar Curvatures in S⁵

Jae-Up So

Department of Mathematics and Institute of Pure and Applied Mathematics, Chonbuk National University, Jeonju, Jeonbuk 561-756, Republic of Korea

Abstract

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Abstract

Let G = O(2)×O(2)×O(2). Then a closed G-invariant minimal hypersurface with constant scalar curvature in S⁵ is a product of spheres, i.e., the square norm of its second fundamental form, S = 4.

Keywords: scalar curvature, G-invariant minimal hypersurface, square norm