Certain real hypersurfaces of a complex space form (Q2782761)

The authors study and classify the real hypersurfaces \(M\) in a complex space form \(M_n(c)\) satisfying the condition that \(A \phi A = k \phi\) for a constant \(k\), resp. \(A^2 \phi + \phi A^2 = k \phi\) for a constant \(k\) and \(\xi\) principal, resp. \(A^2 \phi + a A \phi A + \phi A^2 = k \phi\) for constants \(k\) and \(a\), and \(\xi\) principal. (\(A\) = shape operator of \(M\), \((\phi, \xi, \eta, g)\) = almost contact metric structure of \(M\) induced from the complex structure of \(M_n(c)\)).