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