A THEOREM OF G-INVARIANT MINIMAL HYPERSURFACES WITH CONSTANT SCALAR CURVATURES IN Sn+1

• Journal title : Honam Mathematical Journal
• Volume 31, Issue 3,  2009, pp.381-398
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2009.31.3.381
Title & Authors
A THEOREM OF G-INVARIANT MINIMAL HYPERSURFACES WITH CONSTANT SCALAR CURVATURES IN Sn+1
So, Jae-Up;

Abstract
Let $\small{G\;=\;O(k){\times}O(k){\times}O(q)}$ and let $\small{M^n}$ be a closed G-invariant minimal hypersurface with constant scalar curvature in $\small{S^{n+1}}$. Then we obtain a theorem: If $\small{M^n}$ has 2 distinct principal curvatures at some point p, then the square norm of the second fundamental form of $\small{M^n}$, S = n.
Keywords
scalar curvature;G-invariant minimal hypersurface;square norm;
Language
English
Cited by
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