Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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CERTAIN CLASS OF CONTACT CR-SUBMANIFOLDS OF A SASAKIAN SPACE FORM

  • Kim, Hyang Sook (Department of Applied Mathematics Institute of Basic Science Inje University) ;
  • Choi, Don Kwon (Department of Mathematics Education Kyungpook National University) ;
  • Pak, Jin Suk (Kyungpook National University)
  • Received : 2013.03.18
  • Published : 2014.01.31
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Abstract

In this paper we investigate (n+1)($n{\geq}3$)-dimensional contact CR-submanifolds M of (n-1) contact CR-dimension in a complete simply connected Sasakian space form of constant ${\phi}$-holomorphic sectional curvature $c{\neq}-3$ which satisfy the condition h(FX, Y)+h(X, FY) = 0 for any vector fields X, Y tangent to M, where h and F denote the second fundamental form and a skew-symmetric endomorphism (defined by (2.3)) acting on tangent space of M, respectively.

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References

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