DOI QR코드

DOI QR Code

ON SOME COMPLETE COMPLEX SUBMANIFOLDS IN A LOCALLY SYMMETRIC KAEHLER MANIFOLD

  • Kwon, Jung-Hwan (Department of Mathematics Education, Taegu University) ;
  • Pak, Jin-Suk (Department of Mathematics, Kyungpook National University)
  • 발행 : 2002.03.01

초록

The purpose of this paper is to study complete complex submanifolds of a locally symmetric Kaehler manifold with non-positive totally real normal bisectional curvature and k-pinched totally real tangent bisectional curvature.

키워드

참고문헌

  1. Kodai Math. J. v.11 Semi-K¨ahlerian submanifolds of an indefinite complex space form R. Aiyama;H. Nakagawa;Y. J. Suh https://doi.org/10.2996/kmj/1138038931
  2. Math. Ann. v.261 Indefinite K¨ahler manifolds M. Barros;A. Romero https://doi.org/10.1007/BF01456410
  3. Geometry of Submanifolds B. Y. Chen
  4. Proc. Amer. Math. Soc. v.56 On totally real bisectional curvature C. S. Houh https://doi.org/10.2307/2041615
  5. J. Korean Math. Soc. v.25 Complex submanifolds of an indefinite K¨ahler Einstein manifold U-H. Ki;H. Nakagawa
  6. J. Korean Math. Soc. v.33 On semi-Kaehler manifolds whose totally real bisectional curvature is bounded from below U-K. Ki;Y. J. Suh
  7. J. Differential Geom. v.1 Hypersurfaces of a complex projective space with constant scalar curvature S. Kobayashi
  8. J. Math. Soc. v.27 Complex submanifolds with constant scalar curvature in a Kaehler manifold M. Kon https://doi.org/10.2969/jmsj/02710076
  9. J. Math. Soc. v.28 On locally symmetric K¨ahler submanifolds in a complex projective space H. Nakagawa;R. Takagi https://doi.org/10.2969/jmsj/02840638
  10. J. Math. Soc. v.19 Isometric immersions of Riemannian manifolds H. Omori https://doi.org/10.2969/jmsj/01920205
  11. Spaces of constant curvatures J. A. Wolf
  12. CR submanifolds of K¨ahlerian and Sasakian Manifolds K. Yano;M. Kon
  13. Comm. Pure Appl. Math. v.28 Harmonic functions on complete Riemannian manifolds S. T. Yau https://doi.org/10.1002/cpa.3160280203