Metric semi-symmetric -linear connections in the bundle of accelerations.
Metrizability of affine connections.
Metrizability of connections on two-manifolds
We contribute to the reverse of the Fundamental Theorem of Riemannian geometry: if a symmetric linear connection on a manifold is given, find non-degenerate metrics compatible with the connection (locally or globally) if there are any. The problem is not easy in general. For nowhere flat -manifolds, we formulate necessary and sufficient metrizability conditions. In the favourable case, we describe all compatible metrics in terms of the Ricci tensor. We propose an application in the calculus of...
Minimal Characteristic Exponent of the Gauss-Manin Connection of Isolated Singular Point and Newton Polyhedron.
Mixed covariant derivative and conjugate connections
Moduli Spaces of Simple Bundles and Hermitian-Einstein Connections.
Monodromy and Picard-Fuchs equations for families of -surfaces and elliptic curves
Natural diagonal Riemannian almost product and para-Hermitian cotangent bundles
We obtain the natural diagonal almost product and locally product structures on the total space of the cotangent bundle of a Riemannian manifold. Studying the compatibility and the anti-compatibility relations between the determined structures and a natural diagonal metric, we find the Riemannian almost product (locally product) and the (almost) para-Hermitian cotangent bundles of natural diagonal lift type. Finally, we prove the characterization theorem for the natural diagonal (almost) para-Kählerian...
Natural dynamical connections
Natural transformations between and
Natural transformations between T²₁T*M and T*T²₁M
We determine all natural transformations T²₁T*→ T*T²₁ where . We also give a geometric characterization of the canonical isomorphism ψ₂ defined by Cantrijn et al.
Natural transformations of connections on the first principal prolongation
We consider a vector bundle and the principal bundle of frames of . We determine all natural transformations of the connection bundle of the first order principal prolongation of principal bundle into itself.
Natural transformations of the second tangent functor and soldered morphisms
Nilpotent connections and the monodromy theorem : applications of a result of Turrittin
Non-degenerate hypersurfaces of a semi-Riemannian manifold with a semi-symmetric metric connection
We derive the equations of Gauss and Weingarten for a non-degenerate hypersurface of a semi-Riemannian manifold admitting a semi-symmetric metric connection, and give some corollaries of these equations. In addition, we obtain the equations of Gauss curvature and Codazzi-Mainardi for this non-degenerate hypersurface and give a relation between the Ricci and the scalar curvatures of a semi-Riemannian manifold and of its a non-degenerate hypersurface with respect to a semi-symmetric metric connection....
Non-existence of some canonical constructions on connections
For a vector bundle functor with the point property we prove that is product preserving if and only if for any and there is an -natural operator transforming connections on -dimensional fibered manifolds into connections on . For a bundle functor with some weak conditions we prove non-existence of -natural operators transforming connections on -dimensional fibered manifolds into connections on .
Nonlinear connections on dual Lie algebroids.
Normalization of Differential Equations Defining a CR Structure.
Notes on semi-symmetric connections on spaces endowed with Weyl -structures.
On 3-dimensional generalized -contact metric manifolds.