On compact hypersurfaces with constant scalar curvature in the Euclidean space
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Let <I>M</I> be a compact hypersurface in the Euclidean space with cohomogeneity 2. We show that if the scalar curvature is constant, then <I>M</I> is a standard sphere. This gives a partial positive answer to a problem presented by Yau.
- Kodai Mathematical Journal
Kodai Mathematical Journal 28(3), 577-585, 2005
Department of Mathematics, Tokyo Institute of Technology