Real hypersurfaces in complex space forms concerned with the local symmetry

摘要

This paper consists of two parts. In the first, we find some geometric conditions derived from the local symmetry of the inverse image by the Hopf fibration of a real hypersurface M in complex space form M_m(4 epsilon). In the second, we give a complete classification of real hypersurfaces in M_m(4 epsilon) which satisfy the above geometric facts.