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http://dx.doi.org/10.4134/CKMS.2002.17.2.261

ON G-INVARIANT MINIMAL HYPERSURFACES WITH CONSTANT SCALAR CURVATURE IN S⁵

So, Jae-Up (Department of Mathematics Chonbuk National University)

Publication Information

Communications of the Korean Mathematical Society / v.17, no.2, 2002 , pp. 261-278 More about this Journal

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.

Keywords

scalar curvature; G-invariant minimal hypersurface; square norm;

Citations & Related Records

Reference

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KSCI

ON G-INVARIANT MINIMAL HYPERSURFACES WITH CONSTANT SCALAR CURVATURE IN S5

ON G-INVARIANT MINIMAL HYPERSURFACES WITH CONSTANT SCALAR CURVATURE IN S⁵