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On tori with parallel mean curvature vector in a space of constant curvature

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References

  1. Chen, B. Y.: Surfaces with parallel mean curvature vector. Bull. A.M.S.78, 709–710 (1972)

    Google Scholar 

  2. Chen, B. Y., Yano, K.: Pseudo umbilical submanifolds in a Riemannian manifold of constant curvature. Diff. Geo., in honor of K. Yano. Kinokuniya, Tokyo, 61–71 (1972)

  3. Chern, S.S.: On the minimal immersion of the two-sphere in a space of constant curvature. Problems in Analysis, 27–40. Princeton University Press 1970

  4. Ferus, D.: The torsion form of submanifold inE N. Math. Ann.193, 114–120 (1971)

    Google Scholar 

  5. Kenmotsu, K.: On compact minimal surfaces with non-negative Gaussian curvature in a space of constant Curvature 1. To appear in Tôhoku Math. Journ.

  6. Ōtsuki, T.: Minimal hypersurfaces in a Riemannian manifold of constant curvature. Amer. Jour. of Math., XC 11, 145–173 (1970)

    Google Scholar 

  7. Ruh, E. A.: Minimal immersions of 2-spheres in S4. Proc. A.M.S.28, 219–222 (1971)

    Google Scholar 

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Kenmotsu, K. On tori with parallel mean curvature vector in a space of constant curvature. Math. Ann. 208, 155–159 (1974). https://doi.org/10.1007/BF01432383

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