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Ricci tensor of Hopf hypersurfaces in a complex space form

Year 2018, Volume: 11 Issue: 2, 1 - 7, 30.11.2018
https://doi.org/10.36890/iejg.545107

Abstract

References

  • [1] Berndt, J., Real hypesurfaces with constant principal curvatures in comples hyperbolic space, J. Reine Angew. Math. 395 (2003), 11-25.
  • [2] Cho, J. T., Notes on real hypersurfaces in a complex space form, Bull. Korean Math. Soc. 52 (2015), 335–344.
  • [3] Ki, U.-H., Real hypersurfaces with parallel Ricci tensor of a complex space form, Tsukuba J. Math. 13 (1989), 73–81.
  • [4] Ki, U-H., Nakagawa, H. and Suh, Y. J., Real hypersurfaces with harmonic Weyl tensor of a complex space form, Hiroshima Math. J. 20 (1990), 93-102.
  • [5] Kimura, M., Real hypersurfaces and complex submanifolds in complex projective space, Trans. Am. Math. Soc. 296 (1986), 137-149.
  • [6] Kon, M., 3-dimensional real hypersurfaces and Ricci operator, Diff. Geom. Dyn. Syst. 16 (2014), 189-202.
  • [7] Kon, M., Ricci tensor of real hypersurfaces, Pacific J. Math. 281 (2016), 103-123.
  • [8] Maeda, S., Ricci tensors of real hypersurfaces in a complex projective space, Proc. Amer. Math. Soc. 122 (1994), 1229-1235.
  • [9] Maeda, S., Hopf hypersurfaces with η-parallel Ricci tensors in a nonflat complex space forms, Scientiae Mathematicae Japonicae, 76 (2013), 449-456.
  • [10] Niebergall, R. and Ryan, P. J., Real hypersurfaces in complex space forms. Tight and taut submanifolds, Tight and taut submanifolds, 32 (1997), 233-305.
  • [11] Suh, Y. J., On real hypersurfaces of a complex space form with η-parallel Ricci tensor, Tsukuba J. Math. 14 (1990), 27-37.
  • [12] Takagi, R., Real hypersurfaces in a complex projective space with constant principal curvatures, J. Math. Soc. Japan 27 (1975), 43–53.
  • [13] Takagi, R., Real hypersurfaces in a complex projective space with constant principal curvatures II, J. Math. Soc. Japan 27 (1975), 508-516.
Year 2018, Volume: 11 Issue: 2, 1 - 7, 30.11.2018
https://doi.org/10.36890/iejg.545107

Abstract

References

  • [1] Berndt, J., Real hypesurfaces with constant principal curvatures in comples hyperbolic space, J. Reine Angew. Math. 395 (2003), 11-25.
  • [2] Cho, J. T., Notes on real hypersurfaces in a complex space form, Bull. Korean Math. Soc. 52 (2015), 335–344.
  • [3] Ki, U.-H., Real hypersurfaces with parallel Ricci tensor of a complex space form, Tsukuba J. Math. 13 (1989), 73–81.
  • [4] Ki, U-H., Nakagawa, H. and Suh, Y. J., Real hypersurfaces with harmonic Weyl tensor of a complex space form, Hiroshima Math. J. 20 (1990), 93-102.
  • [5] Kimura, M., Real hypersurfaces and complex submanifolds in complex projective space, Trans. Am. Math. Soc. 296 (1986), 137-149.
  • [6] Kon, M., 3-dimensional real hypersurfaces and Ricci operator, Diff. Geom. Dyn. Syst. 16 (2014), 189-202.
  • [7] Kon, M., Ricci tensor of real hypersurfaces, Pacific J. Math. 281 (2016), 103-123.
  • [8] Maeda, S., Ricci tensors of real hypersurfaces in a complex projective space, Proc. Amer. Math. Soc. 122 (1994), 1229-1235.
  • [9] Maeda, S., Hopf hypersurfaces with η-parallel Ricci tensors in a nonflat complex space forms, Scientiae Mathematicae Japonicae, 76 (2013), 449-456.
  • [10] Niebergall, R. and Ryan, P. J., Real hypersurfaces in complex space forms. Tight and taut submanifolds, Tight and taut submanifolds, 32 (1997), 233-305.
  • [11] Suh, Y. J., On real hypersurfaces of a complex space form with η-parallel Ricci tensor, Tsukuba J. Math. 14 (1990), 27-37.
  • [12] Takagi, R., Real hypersurfaces in a complex projective space with constant principal curvatures, J. Math. Soc. Japan 27 (1975), 43–53.
  • [13] Takagi, R., Real hypersurfaces in a complex projective space with constant principal curvatures II, J. Math. Soc. Japan 27 (1975), 508-516.
There are 13 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Mayuko Kon This is me

Publication Date November 30, 2018
Published in Issue Year 2018 Volume: 11 Issue: 2

Cite

APA Kon, M. (2018). Ricci tensor of Hopf hypersurfaces in a complex space form. International Electronic Journal of Geometry, 11(2), 1-7. https://doi.org/10.36890/iejg.545107
AMA Kon M. Ricci tensor of Hopf hypersurfaces in a complex space form. Int. Electron. J. Geom. November 2018;11(2):1-7. doi:10.36890/iejg.545107
Chicago Kon, Mayuko. “Ricci Tensor of Hopf Hypersurfaces in a Complex Space Form”. International Electronic Journal of Geometry 11, no. 2 (November 2018): 1-7. https://doi.org/10.36890/iejg.545107.
EndNote Kon M (November 1, 2018) Ricci tensor of Hopf hypersurfaces in a complex space form. International Electronic Journal of Geometry 11 2 1–7.
IEEE M. Kon, “Ricci tensor of Hopf hypersurfaces in a complex space form”, Int. Electron. J. Geom., vol. 11, no. 2, pp. 1–7, 2018, doi: 10.36890/iejg.545107.
ISNAD Kon, Mayuko. “Ricci Tensor of Hopf Hypersurfaces in a Complex Space Form”. International Electronic Journal of Geometry 11/2 (November 2018), 1-7. https://doi.org/10.36890/iejg.545107.
JAMA Kon M. Ricci tensor of Hopf hypersurfaces in a complex space form. Int. Electron. J. Geom. 2018;11:1–7.
MLA Kon, Mayuko. “Ricci Tensor of Hopf Hypersurfaces in a Complex Space Form”. International Electronic Journal of Geometry, vol. 11, no. 2, 2018, pp. 1-7, doi:10.36890/iejg.545107.
Vancouver Kon M. Ricci tensor of Hopf hypersurfaces in a complex space form. Int. Electron. J. Geom. 2018;11(2):1-7.