-totally real submanifolds of satisfying a certain inequality.
Calcul du tenseur de Ricci d’une particulière plongée dans pour la métrique induite par la métrique canonique
Certain contact metrics satisfying the Miao-Tam critical condition
We study certain contact metrics satisfying the Miao-Tam critical condition. First, we prove that a complete K-contact metric satisfying the Miao-Tam critical condition is isometric to the unit sphere . Next, we study (κ,μ)-contact metrics satisfying the Miao-Tam critical condition.
Certain property of the Ricci tensor on Sasakian manifolds
Characterization of a slant submanifold of a Kenmotsu manifold.
Characterization of the Pseudo-symmetries of Ideal Wintgen Submanifolds of Dimension 3
Characterization on Mixed Generalized Quasi-Einstein Manifold
In the present paper we study characterizations of odd and even dimensional mixed generalized quasi-Einstein manifold. Next we prove that a mixed generalized quasi-Einstein manifold is a generalized quasi-Einstein manifold under a certain condition. Then we obtain three and four dimensional examples of mixed generalized quasi-Einstein manifold to ensure the existence of such manifold. Finally we establish the examples of warped product on mixed generalized quasi-Einstein manifold.
Chern classes of integral submanifolds of some contact manifolds.
Classification of -dimensional homogeneous weakly Einstein manifolds
Y. Euh, J. Park and K. Sekigawa were the first authors who defined the concept of a weakly Einstein Riemannian manifold as a modification of that of an Einstein Riemannian manifold. The defining formula is expressed in terms of the Riemannian scalar invariants of degree two. This concept was inspired by that of a super-Einstein manifold introduced earlier by A. Gray and T. J. Willmore in the context of mean-value theorems in Riemannian geometry. The dimension is the most interesting case, where...
Classification of 4-dimensional homogeneous D'Atri spaces
The property of being a D’Atri space (i.e., a space with volume-preserving symmetries) is equivalent to the infinite number of curvature identities called the odd Ledger conditions. In particular, a Riemannian manifold satisfying the first odd Ledger condition is said to be of type . The classification of all 3-dimensional D’Atri spaces is well-known. All of them are locally naturally reductive. The first attempts to classify all 4-dimensional homogeneous D’Atri spaces were done in the papers...
Classification of Certain Compact Riemannian Manifolds with Harmonic Curvature and Non-parallel Ricci Tensor.
Classification of -Ricci-semisymmetric -manifolds.
Closed Legendre geodesics in Sasaki manifolds.
Cocalibrated -manifolds with Ricci flat characteristic connection
Any 7-dimensional cocalibrated -manifold admits a unique connection with skew symmetric torsion (see [8]). We study these manifolds under the additional condition that the -Ricci tensor vanish. In particular we describe their geometry in case of a maximal number of -parallel vector fields.
Codazzi tensors and equations of Monge-Ampère type on compact manifolds of constant sectional curvature.
Collars in PSL.
Commuting linear operators and algebraic decompositions
For commuting linear operators we describe a range of conditions which are weaker than invertibility. When any of these conditions hold we may study the composition in terms of the component operators or combinations thereof. In particular the general inhomogeneous problem reduces to a system of simpler problems. These problems capture the structure of the solution and range spaces and, if the operators involved are differential, then this gives an effective way of lowering the differential...
Compact 8-manifolds with holonomy Spin (7).
Compact Conformally Symmetric Riemannan Spaces.
Compact Hermitian Surfaces of Einstein Type with Respect to the Hermitian Connection.