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Some compact hypersurfaces of constant scalar curvature in a sphere

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Abstract

We construct some compact hypersurfaces of constant scalar curvature in a sphere with cohomogeneity 1([2]).

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References

  1. N. Ejiri, A negative answer to a conjecture of conformal transformations of Riemannian manifolds, J. Math. Soc. Japan, 33(1981) 261–266.

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  2. W. Y. Hsiang and H. B. Lawson, Jr, Minimal submanifolds of Low cohomogeneity, J. Differential Geom., 5(1971) 1–38.

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Authors and Affiliations

  1. Department of Mathematics, Tokyo Metropolitan University, Fukasawa, Setagaya, 158, Tokyo, Japan

    Norio Ejiri

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  1. Norio Ejiri
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The author is grateful to Professor K. Ogiue for his useful criticism.

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Ejiri, N. Some compact hypersurfaces of constant scalar curvature in a sphere. J Geom 19, 197–199 (1982). https://doi.org/10.1007/BF01930880

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  • DOI: https://doi.org/10.1007/BF01930880

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