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REAL HYPERSURFACES IN NON-FLAT COMPLEX SPACE FORMS CONCERNED WITH THE STRUCTURE JACOBI OPERATOR AND RICCI TENSOR
Preview AbstractLet M be a real hypersurface with almost contact metric structure (ϕ, ξ, η, g) in a non-flat complex space form Mn(c). In this paper we investigate real hypersurfaces of Mn(c) whose structure Jacobi operator Rξ commutes with both the structure tensor ϕ and the Ricci tensor S of M. We characterize Hopf hypersurfaces of Mn(c).
RIEMANNIAN GEOMETRIC REALIZATIONS FOR RICCI TENSORS OF GENERALIZED ALGEBRAIC CURVATURE OPERATORS
Preview AbstractWe examine questions of geometric realizability for algebraic structures which arise naturally in affine and Riemannian geometry.
NON-HOMOGENEOUS η-EINSTEIN REAL HYPERSURFACES IN A 2-DIMENSIONAL NONFLAT COMPLEX SPACE FORM
Preview AbstractWe investigate geometric properties of 3-dimensional real hypersurfaces with Aξ = 0 in a complex 2-dimensional nonflat complex space form from the view-points of their shape operators, Ricci tensors and *-Ricci tensors.