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Keywords:
real hypersurfaces; local symmetry; derivations; Kulkarni-Nomizu product
Summary:
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.
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