Ruled Real Hypersurfaces in the Indefinite Complex Projective Space

The main two families of real hypersurfaces in complex space forms are Hopf and ruled. However, very little is known about the indefinite projective \({\mathbb {C}}P^n_p\). In a previous work, Kimura second author introduced this paper, ruled introduced, as those whose maximal holomorphic distribution integrable, such that leaves totally geodesic hyperplanes. A detailed description shape operator computed, obtaining different families. method construction exhibited, by gluing suitable way hyperplanes along non-null curve. Next, classification all minimal obtained, terms three curves, namely geodesics, circles third case which not Frenet curve, but can be explicitly computed. Four examples described.