A class of locally symmetric Kähler Einstein structures on the nonzero cotangent bundle of a space form.
A class of metrics on tangent bundles of pseudo-Riemannian manifolds
We provide the tangent bundle of pseudo-Riemannian manifold with the Sasaki metric and the neutral metric . First we show that the holonomy group of contains the one of . What allows us to show that if is indecomposable reducible, then the basis manifold is also indecomposable-reducible. We determine completely the holonomy group of according to the one of . Secondly we found conditions on the base manifold under which ( respectively ) is Kählerian, locally symmetric or Einstein...
A Class of Non-Polarizable Symplectic Manifolds.
A class of self-concordant functions on Riemannian manifolds.
A class of symmetric spaces
A classfication of 3-type curves in Minkowski 3-space . II.
A classification of 2-type curves in the Minkowski space .
A Classification of 2-type Curves in the Minkowski Space E1n
A classification of 3-type curves in Minkowski 3-space . I.
A classification of 3-type curves in Minkowski 3-space e_1^3, II
A classification of certain submanifolds of an S-manifold
A classification theorem is obtained for submanifolds with parallel second fundamental form of an 𝑆-manifold whose invariant f-sectional curvature is constant.
A classification of contact metric 3-manifolds with constant -sectional and -sectional curvatures.
A classification of locally homogeneous connections on 2-dimensional manifolds via group-theoretical approach
The aim of this paper is to classify (lócally) all torsion-less locally homogeneous affine connections on two-dimensional manifolds from a group-theoretical point of view. For this purpose, we are using the classification of all non-equivalent transitive Lie algebras of vector fields in ℝ2 according to P.J. Olver [7].
A classification of Monge-Ampère equations
A classification of Poisson homogeneous spaces of complex reductive Poisson-Lie groups
Let G be a complex reductive connected algebraic group equipped with the Sklyanin bracket. A classification of Poisson homogeneous G-spaces with connected isotropy subgroups is given. This result is based on Drinfeld's correspondence between Poisson homogeneous G-spaces and Lagrangian subalgebras in the double D𝖌 (here 𝖌 = Lie G). A geometric interpretation of some Poisson homogeneous G-spaces is also proposed.
A classification of the torsion tensors on almost contact manifolds with B-metric
The space of the torsion (0,3)-tensors of the linear connections on almost contact manifolds with B-metric is decomposed in 15 orthogonal and invariant subspaces with respect to the action of the structure group. Three known connections, preserving the structure, are characterized regarding this classification.
A classification theorem for connections.
A cohomological description of connections and curvature over posets.
A collar neighborhood theorem for a complex manifold
A combinatorial curvature flow for compact 3-manifolds with boundary.