Juan de Dios Pérez

Real hypersurfaces in quaternionic projective space

SummaryThis paper is devoted to make a systematic study of real hypersurfaces of quaternionic projective space using focal set theory. We obtain three types of such real hypersurfaces. Two of them are known. Third type is new and in its study the first example of proper quaternion CR-submanifold appears. We study real hypersurfaces with constant principal curvatures and classify such hypersurfaces with at most two distinct principal curvatures. Finally we study the Ricci tensor of a real hypersurface of quaternionic projective space and classify pseudo-Einstein, almost-Einstein and Einstein real hypersurfaces.

Real hypersurfaces of quaternionic projective space satisfying ▽UiR = 0

It is known that there do not exist real hypersurfaces with parallel curvature tensor in quaternionic projective spaces. In this paper we classify real hypersurfaces of quaternionic projective space whose curvature tensor is parallel in the direction of certain 3-dimensional distribution.

Real hypersurfaces of quaternionic projective space satisfying\(\nabla _{U_i } A = 0\)

AbstractWe classify real hypersurfaces of quaternionic projective space satisfying

On certain real hypersurfaces of quaternionic projective space

\nabla _{U_i } A = 0

On the Ricci tensor of real hypersurfaces of quaternionic projective space

, i=1,2,3.We classify real hypersurfaces of quaternionic projective space satisfying

RECURRENT JACOBI OPERATOR OF REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS

\nabla _{U_i } A = 0