Real hypersurfaces of nonflat complex projective planes whose Jacobi structure operator satisfies a generalized commutative condition (Q1751451)

Summary: Real hypersurfaces satisfying the condition \(\phi l = l \phi\) (\(l = R(\cdot, \xi) \xi\)) have been studied by many authors under at least one more condition, since the class of these hypersurfaces is quite tough to be classified. The aim of the present paper is the classification of real hypersurfaces in complex projective plane \(\mathbb{C} P^2\) satisfying a generalization of \(\phi l = l \phi\) under an additional restriction on a specific function.