4 papers · 1 filter
New characterizations of ruled real hypersurfaces in complex projective space
Juan de Dios Pérez, David Pérez-López
We consider real hypersurfaces in complex projective space equipped with both the Levi-Civita and generalized Tanaka-Webster connections. For any nonnull constant and any s…
On the structure Lie operator of a real hypersurface in the complex quadric
Juan de Dios Pérez, David Pérez-López, Young Jin Suh
The almost contact metric structure that we have on a real hypersurface in the complex quadric allows us to define, for any nonnull real number , t…
Ruled Real Hypersurfaces in the Indefinite Complex Projective Space
Marilena Moruz, Miguel Ortega, Juan de Dios Pérez
The main two families of real hypersurfaces in complex space forms are Hopf and ruled. However, very little is known about real hypersurfaces in the indefinite complex projective s…
Generalized Tanaka-Webster Parallel Ricci tensor in complex two-plane Grassmannians
Juan de Dios Pérez, Young Jin Suh
We prove the non-existence of Hopf real hypersurfaces in complex two-plane Grassmannians whose Ricci tensor is parallel with respect to the generalized Tanaka-Webster connection.