REAL HYPERSURFACES WITH REEB JACOBI OPERATOR OF CODAZZI TYPE IN THE COMPLEX HYPERBOLIC TWO-PLANE GRASSMANNIANS

초록

Utilizing the concept of Reeb Jacobi operator of Codazzi type, we investigate Hopf real hyper-surfaces in the complex hyperbolic two-plane Grassmannian G & lowast;2(Cm+2) which admit a constant Reeb function alpha along the Reeb direction of . If the Reeb function alpha is constant along the Reeb direction, then the Reeb vector field = -JN either belongs to the distribution or the distribution '. By virtue of this fact, we have proved a new result about Reeb Jacobi operator of Codazzi type according to the Reeb vector field is an element of 'or is an element of , respectively.

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