SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 OF A COMPLEX PROJECTIVE SPACE IN TERMS OF THE JACOBI OPERATOR

Title & Authors
SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 OF A COMPLEX PROJECTIVE SPACE IN TERMS OF THE JACOBI OPERATOR
HER, JONG-IM; KI, U-HANG; LEE, SEONG-BAEK;

Abstract
In this paper, we characterize some semi-invariant sub-manifolds of codimension 3 with almost contact metric structure ($\small{\phi}$, $\small{\xi}$, g) in a complex projective space $\small{CP^{n+1}}$ in terms of the structure tensor $\small{\phi}$, the Ricci tensor S and the Jacobi operator $\small{R_\xi}$ with respect to the structure vector $\small{\xi}$.
Keywords
semi-invariant submanifold;Jacobi operator;distinguished normal;Ricci tensor;Hopf real hypersurface;
Language
English
Cited by
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