Flat linear connections in terms of flat linear transports in tensor bundles
 Basics

Parrallel Transports in Tensor Spaces Generated by Derivations of Tensor Algebras
 Derviations of Tensor Algebras

Linear Transports along Paths in Vector Bundles
I. General Theory
II. Some Applications
III. Curvature and Torsion
IV. Consisency with Bundle Metrics
V. Properties of Curvature and Torsion
Normal frames and linear transports along paths in vector bundles

Transports Along Maps in Fibre Bundles
Alongmap

Transports along Paths in Fibre Bundles
I. General Theory
II. Ties with the Theory of Connections and Parrallel Transports
III. Consistancy with Bundle Morphisms
IV. Consistency with Bundle Metrics
 

Fibre bundle (re)formulation of quantum physics
Nonrelativistic quantum mechanics
0. Preliminary considerations:Quantum mechanics from a geometric-observer's viewpoint
I. Introduction. The Evolution Transport
II. Equations of Motion and Observables
III. Pictures and Integrals of Motion
IV. Mixed States and Evolution Transport's Curvature
V. Interpretation, Summary, and Discussion
Full version
Relativistic quantum mechanics
I. Time-dependent Approach
II. Covariant approach
Full version

Riemannian Metrics
On metric-connection compatibility and the signature change of space-time
On the connection between Lorentzian and Euclidean metrics

Normal Frames and the (validity of the) Equivalence Principle
I. Cases in a neighborhood and at a point
II. The case along paths
III. The case along smooth maps with separable points of self-intersections
Is the principle of equivalence a principle?
Normal frames for derivations and linear connections and the equivalence principle
 

Quantum Field Theory
On the action principle in quantum field theory
On momentum operator in quantum field theory