SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 OF A COMPLEX PROJECTIVE SPACE IN TERMS OF THE JACOBI OPERATOR
SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 OF A COMPLEX PROJECTIVE SPACE IN TERMS OF THE JACOBI OPERATOR
In this paper, we characterize some semi-invariant sub-manifolds of codimension 3 with almost contact metric structure (<TEX>$\phi$</TEX>, <TEX>$\xi$</TEX>, g) in a complex projective space <TEX>$CP^{n+1}$</TEX> in terms of the structure tensor <TEX>$\phi$</TEX>, the Ricci tensor S and the Jacobi operator <TEX>$R_\xi$</TEX> with respect to the structure vector <TEX>$\xi$</TEX>.