Formulation of analytical mechanics in general relativity
Sur quelques propriétés de la double 2-forme gravitationnelle W
Jet involution and prolongations of connections
On gravitational and electromagnetic shock waves and their detection
On the geometrical structure of shock waves in general relativity
New operators on jet spaces
Relations between linear connections on the tangent bundle and connections on the jet bundle of a fibred manifold
All natural operations transforming linear connections on the tangent bundle of a fibred manifold to connections on the 1-jet bundle are classified. It is proved that such operators form a 2-parameter family (with real coefficients).
On the algebraic structure on the jet prolongations of fibred manifolds
The geometry of Newton's law and rigid systems
We start by formulating geometrically the Newton’s law for a classical free particle in terms of Riemannian geometry, as pattern for subsequent developments. For constrained systems we have intrinsic and extrinsic viewpoints, with respect to the environmental space. Multi–particle systems are modelled on -th products of the pattern model. We apply the above scheme to discrete rigid systems. We study the splitting of the tangent and cotangent environmental space into the three components of center...
Differential pseudoconnections and field theories
On quantum vector fields in general relativistic quantum mechanics.
General structured bundles
Summary: [For the entire collection see Zbl 0742.00067.]A general theory of fibre bundles structured by an arbitrary differential-geometric category is presented. It is proved that the structured bundles of finite type coincide with the classical associated bundles.
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