Deformations of the algebra of functions on hermitian symmetric spaces resulting from quantization
Description lagrangienne d'un boson scalaire à l'aide d'un triplet nucléaire
Differential geometry of canonical quantization
Differential-geometric and variational background of classical gauge field theories.
Distinguished linear connections in the Einstein-Schrödinger geometry of the second order.
Distinguished Riemann-Hamilton geometry in the polymomentum electrodynamics
In this paper we develop the distinguished (d-) Riemannian differential geometry (in the sense of d-connections, d-torsions, d-curvatures and some geometrical Maxwell-like and Einstein-like equations) for the polymomentum Hamiltonian which governs the multi-time electrodynamics.
Double vector bundles and duality
The notions of the dual double vector bundle and the dual double vector bundle morphism are defined. Theorems on canonical isomorphisms are formulated and proved. Several examples are given.