On complete lifts of reductive homogeneous spaces and generalized symmetric spaces
In this note, we investigate -dimensional spacelike hypersurfaces with in locally symmetric Lorentz space. Two rigidity theorems are obtained for these spacelike hypersurfaces.
The object of the present paper is to study decomposable almost pseudo conharmonically symmetric manifolds.
It was conjectured in [26] that, for all submanifolds of all real space forms , the Wintgen inequality is valid at all points of , whereby is the normalised scalar curvature of the Riemannian manifold and , respectively , are the squared mean curvature and the normalised scalar normal curvature of the submanifold in the ambient space , and this conjecture was shown there to be true whenever codimension . For a given Riemannian manifold , this inequality can be interpreted as follows:...
In this paper we investigate holomorphically projective mappings of generalized Kählerian spaces. In the case of equitorsion holomorphically projective mappings of generalized Kählerian spaces we obtain five invariant geometric objects for these mappings.