Curvature properties of homogeneous real hypersurfaces in nonflat complex space forms (Q2413584)

This paper deals with homogeneous real hypersurfaces of a nonflat complex space form (i.e., a complete and simply connected Kähler manifold of constant holomorphic sectional \(c\neq 0\)). The aim of the paper is to investigate curvature properties of such hypersurfaces. In the main results of the work, the authors determine the signs of the sectional curvatures for all homogeneous real hypersurfaces in \(n\)-dimensional complex projective space \(\mathbb{C}P^n(c)\) and in \(n\)-dimensional complex hyperbolic space \(\mathbb{C}H^n(c)\).