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On G-invariant minimal hypersurfaces with constant scalar curvature in S^5

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Abstract

Let G=O(2) times O(2) times O(2) and let M^4 be a closedG-invariant minimal hypersurface with constant scalar curvature in S^5.If M^4 has 2 distinct principal curvatures at some point, then S=4.Moreover, if S>4, then M^4 does not have simple principal curvatures everywhere.

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