ON SOME CR-SUBMANIFOLDS OF (n-1) CR-DIMENSION IN A COMPLEX PROJECTIVE SAPCE

  • Published : 1998.01.01

Abstract

The purpose of this paper is to give sample characterizations of n-dimensional CR-submanifolds of (n-1) CR-semifolds of (n-1) CR-dimension immersed in a complex projective space $CP^{(n+p)/2}$ with Fubini-Study metric and we study an n-dimensional compact, orientable, minimal CR-submanifold of (n-1) CR-dimension in $CP^{(n+p)/2}$.

Keywords

References

  1. Proc. Amer. Math. Soc. v.69 CR-submanifolds of a Kahler manifold A. Behancu
  2. Trans. Amer. Math. Soc. v.269 Focal sets and real hypersurfaces in complex projective space T. E. Cecil;P. J. Ryan
  3. Arch. Math. v.68 Scalar curvature of a certain CR-submanifold of a complex prohective space Y.-W. Choe;M. Okumura
  4. J. differential Geom. v.5 Reduction of the codimension of an isometric immersion J. Erbacher
  5. J. Differential Geom. v.4 Rigidity theorems in rant-1 summetric spaces H. B. Lawson, Jr.
  6. CR-submamifolds of (n-1) CR-dimension in a complex prohective space J.-H. Kwon;J. S. Park
  7. J. Mat. Soc. v.28 On real hypersurfaces of a complex projective space Y. Maeda
  8. Trans. Amer. Math. Soc. v.142 Approximation theorems on differential submanifolds of a complex manifold R. Nirenberg;R. O. Wells Jr.
  9. Trans. Amer. Math. Soc. v.212 Real hypersurfaces of a complex prohective space M. Okumura
  10. J. Differential Geom. v.12 Compact real hypersurfaces of a complex prohective space M. Okumura
  11. Rendicinti del Circolo Mat. di. Palermo v.XLIII n-dimensional real submanifolds with (n-1)-dimensional maximal holorphic tangent subspace in complex projective spaces M. Okumura;L. Vanhecke
  12. Osaks J. Mach. v.10 On homogeneous real hypersurfaces in a complex prohective space R. Takagi
  13. J. Math. Soc. v.27 Real hypersurfaces in a complex projective space with constant principal curvatures Ⅰ,Ⅱ R. Takagi
  14. Tohoku Math. J. v.15 On contact structure of hypersurfaces in complex manifolds Ⅰ T. Tashiro
  15. Sugaku v.16 Relations between almost complex spaces and almost contact spaces T. Tashiro
  16. Ann. of Math. v.55 On harmonic and Killing vector fields K. Yano
  17. Integral formulas in Riemannian geometry K. Yano
  18. Series in Pure Mathematics 3 Structures in manifolds K. Yona;M. Kon