Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON G-INVARIANT MINIMAL HYPERSURFACES WITH CONSTANT SCALAR CURVATURE IN S5

  • So, Jae-Up (Department of Mathematics Chonbuk National University)
  • Published : 2002.04.01
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Abstract

Let G = O(2) $\times$ O(2) $\times$O(2) and let M$^4$be closed G-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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References

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Cited by

  1. On G-invariant Minimal Hypersurfaces with Constant Scalar Curvatures in S5 vol.53, pp.4, 2013, https://doi.org/10.5666/KMJ.2013.53.4.515