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Some pinching and classification theorems for minimal submanifolds

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References

  1. B. Y.Chen, Geometry of submanifolds. New York-Basel 1973.

  2. B. Y.Chen, Total mean curvature and submanifolds of finite type. Singapore-New Jersey-London-Hong Kong 1984.

  3. B. Y. Chen andM. Okumura, Scalar curvature, inequality and submanifold. Proc. Amer. Math. Soc.38, 605–608 (1973).

    Google Scholar 

  4. S. S. Chern, Minimal submanifolds in a Riemannian manifold. Lawrence, Kansas 1968.

    Google Scholar 

  5. M. do Carmo andM. Dajczer, Rotation hypersurfaces in spaces of constant curvature. Trans. Amer. Math. Soc.277, 685–709 (1983).

    Google Scholar 

  6. F. Dillen, Semi-parallel hypersurfaces of a real space form. Israel J. Math.75, 193–202 (1991).

    Google Scholar 

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Chen, BY. Some pinching and classification theorems for minimal submanifolds. Arch. Math 60, 568–578 (1993). https://doi.org/10.1007/BF01236084

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  • DOI: https://doi.org/10.1007/BF01236084

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