Semi-parallel Hopf real hypersurfaces in the complex quadric

In this paper, we introduce the new notion of semi-parallel real hypersurface in the complex quadric (Q^{m}). Moreover, we give a nonexistence theorem for semi-parallel Hopf real hypersurfaces in the complex quadric (Q^{m}) for (m geq 3)

AFFINE KILLING REEB VECTOR FIELD FOR A REAL HYPERSURFACE IN THE COMPLEX QUADRIC

In this paper, first we introduce a general notion of affine Killing vector fields on the complex quadric Q^m, which is weaker than usual Killing vector field. Next, we give a complete classification of Hopf real hypersurfaces M with affine Killing Reeb vector field in the complex quadric Q^m, m ≥ 3

Lie Derivatives and Ricci Tensor on Real Hypersurfaces in Complex Two-plane Grassmannians

On a real hypersurface M in a complex two-plane Grassmannian Gz(Cm+z) we have the Lie derivation L and a diòerential operator of order one associated with the generalized Tanaka– Webster connection L(k). We give a classiûcation of real hypersurfaces M on Gz(Cm+z) satisfying L (k) S = L S, where epsilon is the Reeb vector ûeld on M and S the Ricci tensor of M