Real hypersurfaces of a complex projective space

Abstract

In this paper, we classify real hypersurfaces in the complex projective space \(C P^{\frac{n+1}{2}}\) whose structure vector field is a φ-analytic vector field (a notion similar to analytic vector fields on complex manifolds). We also define Jacobi-type vector fields on a Riemannian manifold and classify real hypersurfaces whose structure vector field is a Jacobi-type vector field.