Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
권호 표지

SPACE-LIKE COMPLEX SUBMANIFOLDS OF AN INDEFINITE K HLER MANIFOLD

  • Kwon, Jung-Hwan (Department of mathematics Education Taegu University) ;
  • Pyo, Yong-Soo (Division of Mathematical Sciences Pukyung national University) ;
  • Shin, Kyoung-Hwa (Division of Mathematical Sciences Pukyung national University)
  • Published : 1999.11.01
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Abstract

The purpose of this paper is to study the complete submanifolds with restricted space-like and time-like holomorphic bisectional curvatures in an indefinite locally symmetric K hler manifold.

Keywords

References

  1. Tokyo J. Math. v.10 Complex hypersurfaces in an indefinite complex space form R. Aiyama;T. Ikawa;J.-H. Kwon;H. Nakagawa
  2. Kodai Math. J. v.11 Semi-Kaehlerian submanifolds of an indefinite complex space form R. Aiyama;H. Nakagawa;Y. J. Suh
  3. Math. Ann. v.261 Indefinite Kahler manifolds M. Barros;A. Romero
  4. Geometry of Submanifolds B. Y. Chen
  5. Bull. Korean Math. Soc. v.35 A Liouville-type theorem for complete Riemannian manifolds S. M. Choi;J.-H. Kwon;Y. J. Suh
  6. J. Korean Math. Soc. v.25 Complex submanifolds of an indefinite Kaehler Einstein maniflod U-H. Ki;H. Nakagawa
  7. On the normal curvature of space-like complex submanifolds in indefinite complex hyperbolic space J.-H. Kwon;Y. J. Suh
  8. Bull. Korean Math. Soc. v.26 Space-like complex hypersurfaces of a complex Lorentz manifold J.-H. Kwon;H. Nakagawa
  9. Math. Proc. Camb. Phil. Soc. v.94 Complex Einstein hypersurfaces of indefinite complex space forms S. Montiel;A. Romero
  10. J. Math. Soc. v.28 On locally symmetric Kaehler submanifolds in a complex projective space H. Nakagawa;R. Takagi
  11. Nagoya Math. J. v.95 On maximal space-like hypersurfaces in a Lorentzian manifold S. Nishikawa
  12. J. Math. Soc. v.19 Isometric immersions of Riemannian manifolds H. Omori
  13. Semi-Riemannian geometry with application to relativity B. O'Neill
  14. Differential geometry of complex hypersurfaces in an indefinite complex space form A. Romero
  15. roc. Amer. Math. J. v.98 Some examples of indefinite complex Einstein hypersurfaces not locally symmetric A. Romero
  16. On the Chern-type problem in Kahler geometry K. H. Shin;Y. S. Pyo;H. S. Kim
  17. Spaces of constant curvatures J. A. Wolf
  18. CR submanifolds of Kaehlerian and Sasakian Manifolds K. Yano;M. Kon
  19. Comm. Pure and Appl. Math. v.28 Harmonic functions on complete Riemannian manifolds S. T. Yau