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On spacelike hypersurfaces with constant mean curvature in the de Sitter space

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References

  1. Calabi, E.: Examples of Bernstein problems for some nonlinear equations. Proc. Symp. Pure Appl. Math.15, 223–230 (1970)

    Google Scholar 

  2. Cheng, S.-Y., Yau, S.-T.: Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces. Ann. Math.104, 407–419 (1976)

    Google Scholar 

  3. de Carmo, M., Dajczer, M.: Rotation hypersurfaces in spaces of constant curvature. Trans. Am. Math. Soc.277, 685–709 (1983)

    Google Scholar 

  4. Hawking, S.W., Ellis, G.F.: The large scale structure of space-time. Cambridge: University Press 1973

    Google Scholar 

  5. Mori, H.: Stable complete constant mean curvature surfaces in 19-1 andH 3. Trans. Am. Math. Soc.278, 671–687 (1983)

    Google Scholar 

  6. Nishikawa, S.: On spacelike hypersurfaces in a Lorentzian manifold. Nagoya Math. J.95, 117–124 (1984)

    Google Scholar 

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  1. Department of Mathematics, Miyakonojo National College of Technology, Miyakonojo, 885, Miyazaki, Japan

    Kazuo Akutagawa

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  1. Kazuo Akutagawa
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Akutagawa, K. On spacelike hypersurfaces with constant mean curvature in the de Sitter space. Math Z 196, 13–19 (1987). https://doi.org/10.1007/BF01179263

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  • DOI: https://doi.org/10.1007/BF01179263

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