Abstract
Let M be a compact hypersurface in the Euclidean space with cohomogeneity 2. We show that if the scalar curvature is constant, then M is a standard sphere. This gives a partial positive answer to a problem presented by Yau.
Citation
Takashi Okayasu. "On compact hypersurfaces with constant scalar curvature in the Euclidean space." Kodai Math. J. 28 (3) 577 - 585, October 2005. https://doi.org/10.2996/kmj/1134397770
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