GENERALIZED KILLING STRUCTURE JACOBI OPERATOR FOR REAL HYPERSURFACES IN COMPLEX HYPERBOLIC TWO-PLANE GRASSMANNIANS

초록

In this paper, first we introduce a new notion of general-ized Killing structure Jacobi operator for a real hypersurface M in com-plex hyperbolic two-plane Grassmannians SU2,m/S (U-2 . U-m). Next we prove that there does not exist a Hopf real hypersurface in complex hy-perbolic two-plane Grassmannians SU2,m/S (U-2 . U-m) with generalized Killing structure Jacobi operator.

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