CR-submanifolds of a Lorentzian para-Sasakian manifold.
CR-submanifolds of a nearly trans-Sasakian manifold.
CR-warped product submanifolds of nearly Kaehler manifolds.
Curvature conditions on hypersurfaces with two distinct principal curvatures
We investigate curvature properties of hypersurfaces in semi-Riemannian spaces of constant curvature with the minimal polynomial of the second fundamental tensor of second degree. We present suitable examples of hypersurfaces.
Curvature operators: pinching estimates and geometric examples
Curvature properties of a semi-symmetric metric connection on S-manifolds
In this study, S-manifolds endowed with a semi-symmetric metric connection naturally related with the S-structure are considered and some curvature properties of such a connection are given. In particular, the conditions of semi-symmetry, Ricci semi-symmetry and Ricci-projective semi-symmetry of this semi-symmetric metric connection are investigated.
Curvature properties of -natural contact metric structures on unit tangent sphere bundles.
Curvature properties of φ-null Osserman Lorentzian S-manifolds
We expound some results about the relationships between the Jacobi operators with respect to null vectors on a Lorentzian S-manifold and the Jacobi operators with respect to particular spacelike unit vectors. We study the number of the eigenvalues of such operators on Lorentzian S-manifolds satisfying the φ-null Osserman condition, under suitable assumptions on the dimension of the manifold. Then, we provide in full generality a new curvature characterization for Lorentzian S-manifolds and we use...
Curvature tensors and Ricci solitons with respect to Zamkovoy connection in anti-invariant submanifolds of trans-Sasakian manifold
The present paper deals with the study of some properties of anti-invariant submanifolds of trans-Sasakian manifold with respect to a new non-metric affine connection called Zamkovoy connection. The nature of Ricci flat, concircularly flat, -projectively flat, -projectively flat, --projectively flat, pseudo projectively flat and -pseudo projectively flat anti-invariant submanifolds of trans-Sasakian manifold admitting Zamkovoy connection are discussed. Moreover, Ricci solitons on Ricci flat,...
Curvature tensors on -Einstein Sasakian manifolds.
Curvature-decreasing maps are volume-decreasing. On joint work with G. Besson and G. Courtois.
D-conharmonic change in a special para-Sasakian manifold.
Derivational formulas of a submanifold of a generalized Riemannian space.
Differential Geometry of Real Submanifolds in a Kähler Manifold.
Doubly warped product Finsler manifolds with some non-Riemannian curvature properties
We consider doubly warped product (DWP) Finsler manifolds with some non-Riemannian curvature properties. First, we study Berwald and isotropic mean Berwald DWP-Finsler manifolds. Then we prove that every proper Douglas DWP-Finsler manifold is Riemannian. We show that a proper DWP-manifold is Landsbergian if and only if it is Berwaldian. Then we prove that every relatively isotropic Landsberg DWP-manifold is a Landsberg manifold. We show that a relatively isotropic mean Landsberg warped product manifold...
Doubly warped product submanifolds of (κ,μ)-contact metric manifolds
We establish sharp inequalities for C-totally real doubly warped product submanifolds in (κ,μ)-contact space forms and in non-Sasakian (κ,μ)-contact metric manifolds.
Einstein Complete Intersections in Complex Projektive Space.
Einstein equation for an invariant metric on generalized flag manifolds and inner automorphisms.
Einstein manifolds of positive scalar curvature with arbitrary second Betti number.
Einstein manifolds, volume rigidity and Seiberg-Witten theory