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Finite type ruled manifolds shaped on spherical submanifolds

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References

  1. J. M. Barbosa, M. Dajcer andL. P. Jorge, Minimal Ruled Submanifolds in Spaces of Constant Curvature. Indiana Univ. Math. J.33, 531–547 (1984).

    Google Scholar 

  2. B. Y.Chen, Total Mean Curvature and Submanifolds of Finite Type. Singapore 1984.

  3. B. Y.Chen, Finite Type Submanifolds and Generalization. University of Rome 1985.

  4. B. Y. Chen, Surfaces of Finite Type in Euclidean 3-Space. Bull. Soc. Math. Belg.39, 243–254 (1987).

    Google Scholar 

  5. B. Y. Chen, Null 2-Type Surfaces inE 3 are Circular Cylinders. Kodai Math. J.11, 295–299 (1988).

    Google Scholar 

  6. O. J. Garay, Finite Type Cones shaped on Spherical Submanifolds. Proc. Amer. Math. Soc.104, 868–875 (1988).

    Google Scholar 

  7. O. J.Garay, An Extension of Takahashi Theorem. Preprint.

  8. J. Simons, Minimal Varieties in Riemannian Manifolds. Ann. of Math.88, 62–105 (1968).

    Google Scholar 

  9. T. Takahashi, Minimal Immersions of Riemannian Manifolds. J. Math. Soc. Japan18, 380–385 (1966).

    Google Scholar 

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Partially supported by a DGICYT Grant No. PS87-0115-C03.

Supported by a FPPI Grant, Program PG, Ministerio de Educatión y Ciencia.

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Ferrández, A., Garay, O.J. & Lucas, P. Finite type ruled manifolds shaped on spherical submanifolds. Arch. Math 57, 97–104 (1991). https://doi.org/10.1007/BF01200045

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  • DOI: https://doi.org/10.1007/BF01200045

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