Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
권호 표지

SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 SATISFYING 𝔏ξ∇ = 0 IN A NONFLAT COMPLEX SPACE FORM

  • AHN, SEONG-SOO (Dept. of Mathematics, Dong Shin University) ;
  • LEE, SEONG-BAEK (Dept. of Mathematics, Chosun University) ;
  • LEE, AN-AYE (Dept. of Software development, Dong Shin University)
  • Received : 2001.05.10
  • Published : 2001.07.30
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we characterize some semi-invariant submanifolds of codimension 3 with almost contact metric structure (${\phi}$, ${\xi}$, g) satisfying 𝔏ξ∇ = 0 in a nonflat complex space form, where ${\nabla}$ denotes the Riemannian connection induced on the submanifold, and 𝔏ξ is the operator of the Lie derivative with respect to the structure vector field ${\xi}$.

Keywords

References

  1. Proc. Amer. Math. Soc. v.69 CR-submanifolds of a Kahler manifold I Bejancu, A.
  2. Kodai Math. Sem. Rep. v.27 Semi-invariant immersion Blair, D.E.;Ludden, G.D.;Yano, K.
  3. Kyungpook Math. J. v.32 real hypersurfaces of type A or B in a complex space form Choe, Y.W.;Lee, J.D.
  4. J. Differential Geom. v.3 Reduction of the codimension of an isometric immersion Erbacher, J.
  5. Kyungpook Math. J. Semi-invariant submanifolds with L-flatnormal connection in terms of the Lie derivatives Ki, U.H.;Li, C.;Lee, S.C.
  6. Kyungpook Math. J. v.40 Semi-invariant submanifolds with lift-flat normal connection in a complex projective space Ki, U.H.;Kim, H.J.
  7. Nihonkai Math. J. v.11 Submanifolds of codimension 3 admiting almost contact metric structure in a complex projective space Ki, U.H.;Song, H.;Takagi, R.
  8. Kyungpook Math. J. v.31 Some characterizations of real hypersurfaces of type A Ki, U.H.;Kim, S.J.;Lee, S.B.
  9. Geom. Dedicata v.20 On some real hypersurfaces of a complex hyperbolic space Montiel, S.;Romero, A.
  10. Real hypersurfaces in complex space form;Tight and Taut submanifolds Niebergall, R.;Ryan, P.J.;Cecil, T.E.(ed.);Chern, S.S.(ed.)
  11. Trans. Amer. Math. Soc. v.212 On some real hypersurfaces of a complex projective space Okumura, M.
  12. Geom. Dedicata v.7 Normal curvature and real submanifold of the complex projective space Okumura, M.
  13. Colloq. Math. Soc., Janos Bolyai v.56 Codimension reduction problem for real submanifolds of complex projective space Okumura, M.
  14. Rendiconti del Circolo Math. di Palermo v.43 n-dimensional real submanifolds with (n-1)-dimensional maximal holomorphic tangent subspace in complex projective space Okumura, M.;Vanhecke, L.
  15. Tsukuba J. Math. Some differential-geometric properties of R-spaces Song, H.
  16. Sugaku v.16 Relations between the theory of almost complex spaces and that of almost contact spaces (in Japanese) Tashiro, Y.
  17. The theory of Lie derivatives and its applications Yano, K.
  18. Kodai Math. Sem. Rep. v.29 On (f,g,u,v,w,${\lambda}$, ${\mu}$,${\nu}$)-structure satisfying ${\lambda}^2\;+\;{\mu}^2\;+\;{\nu}^2$ = 1 Yano, K.;Ki, U.H.
  19. CR submanifolds of Kaehlerian and Sasakian manifolds Yano, K.;Kon, M.