30 citations · 260 across the 63 of their papers we have counts for
5 papers · 2 filters
Normal frames and linear transports along paths in vector bundles
Bozhidar Z. Iliev
The theory of linear transports along paths in vector bundles, generalizing the parallel transports generated by linear connections, is developed. The normal frames for them are de…
Is the principle of equivalence a principle?
Bozhidar Z. Iliev
The work argues the principle of equivalence to be a theorem and not a principle (in a sense of an axiom). It contains a detailed analysis of the concepts of normal and inertial fr…
Normal frames and the validity of the equivalence principle. III. The case along smooth maps with separable points of self-intersection
Bozhidar Z. Iliev
The equivalence principle is treated on a mathematically rigorous base on sufficiently general subsets of a differentiable manifold. This is carried out using the basis of derivati…
On metric-connection compatibility and the signature change of space-time
Bozhidar Z. Iliev
We discuss and investigate the problem of existence of metric-compatible linear connections for a given space-time metric which is, generally, assumed to be semi-pseudo-Riemannian.…
On one connection between Lorentzian and Euclidean metrics
Bozhidar Z. Iliev
We investigate connections between pairs of (pseudo-)Riemannian metrics whose sum is a (tensor) product of a covector field with itself. A bijective mapping between the classes of…