ON CHARACTERIZATIONS OF REAL HYPERSURFACES WITH JACOBI OPERATORS IN 2-DIMENSIONAL NONFLAT COMPLEX SPACE FORM
In this paper, we prove that a real hypersurface M in a nonflat complex space form Mn(c), whose Jacobi operator and shape operator commute with the structure tensor on the holomorphic distribution, is a Hopf hypersurface. Also, we give a characterization of this hypersurface.
real hypersurface, Jacobi operator, Hopf hypersurface, model spaces.
