Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON REAL HYPERSURFACES OF A COMPLEX SPACE FORM IN TERMS OF JACOBI OPERATORS

  • Ki, U-Hang (Topology and Geometry Research Center, Kyungpook National University) ;
  • Lee, An-Aye (Kumsung Environment College) ;
  • Lee, Seong-Baek (Department of Mathematics, Chosun University)
  • Published : 1998.04.01
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Abstract

We study real hypersurfaces of a complex space form such that the Jacobi operator with respect to the structure vector field and the structure tensor $\phi$ on the real hypersurface commute.

Keywords

References

  1. Tsukuba J. Math. v.17 On ruled real hypersurfaces in a complex space form S. S. Ahn;S.-B. Lee;Y. J. Suh
  2. J. Korean Math. Soc. v.32 On characterizations of real hyprsurfaces of type B in a comples hyperbolic space S. S. Ahn;Y. J. Suh
  3. J. Reine Angew Math. v.395 Real hypersurfaces with constant pricipal curvatures in a complex hyperbolic sapce J. Berndt
  4. Trans. Amer. Math. Soc. v.269 Focal stes and real hypersurfaces in complex projective space T. E. Cecil;P. J. Ryan
  5. Tsukuba J. Math. Jacobi operators on real hypersurfaces of a comples projective space J. T. Cho;U-H. Ki
  6. Acta Math. Hunger. Real hypersurfaces of a complex projective space in terms of the Jacobi operators J. T. Cho;U-H. Ki
  7. Tsukuba J. Math. v.12 Cyclic-parallel real hypersurfaces of a complex space form U-H. Ki
  8. The Jacobi operator of real hypersurfaces in a complex space form U-H. Ki;H.-J. Kim;A.-A. Lee
  9. J. Korean Math. Soc. v.29 On certain real hypersurfaces of a complex space form U-H. Ki;N.-G. Kim;S.-B. Lee
  10. Math. J. Okayama Univ. v.32 On real hypersurfaces of a complex space form U-H. Ki;Y. J. Suh
  11. Yokohama Math. J. Real hypersurfaces satisfying ▽￡S = 0 in a complex space form II U-H. Ki;R. Takagi
  12. Trans. Amer. Math. Soc. v.296 Real hypersurfaces and complex submanifolds in complex projective space M. Kimura
  13. Saitama Math. J. v.5 Some real hypersurfaces of a complex projective space M. Kimura
  14. Math. Ann. v.276 Sectional curvatures of holomorphic planes on a real hypersurface in $P_n$(С) M. Kimura
  15. Math. Z. v.202 On real hypersurfaces of complex projective space M. Kimura;S. Maeda
  16. Tsukuba J. Math. v.14 Real hypersurfaces of a complex projective space in terms of holomorphic distributions S. Maeda;S. Udagawa
  17. J. Math. Soc. Japan v.28 On real hypersurfaces of a complex projective space Y. Maeda
  18. J. Math. Soc. Japan v.37 Real hypersurfaces of a complex hyperbolic space S. Montiel
  19. Geometriae Dedicata v.20 On some real hypersurfaces of a complex hyperbolic space S. Montiel;A. Romero
  20. Trans. Amer. Math. Soc. v.212 On some real hypersufaces of a complex projective space M. Okumura
  21. Tsukuba J. Math. v.14 On real hypersurfaces of a complex space form Y. J. Suh
  22. Osaka J. Math. v.10 On homogeneous real hypersurfaces of a complex projective space R. Takagi
  23. J. Math. Soc. Japan v.27 Real hypersufaces in a complex projective space with constant principal curvatures I, II, III R. Takagi
  24. CR submanifolds of Kaehlerian and Sasakian manifolds K. Yano;M. Kon