8 citations · 48 across the 26 of their papers we have counts for
6 papers · 1 filter
Deviation equations in spaces with torsion
Bozhidar Z. Iliev, Sawa S. Manoff
The most general form of the deviation equations in spaces with linear connection with arbitrary torsion is derived.
Centre of mass in spaces with torsion free flat linear connection
Bozhidar Z. Iliev
The concept "centre of mass" is analyzed in spaces with torsion free flat linear connection. It is shown that under sufficiently general conditions it is almost uniquely defined, t…
Equivalence principle in classical electrodynamics
Bozhidar Z. Iliev
The principle of equivalence in gravitational physics and its mathematical base are reviewed. It is demonstrated how this principle can be realized in classical electrodynamis. In…
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…
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…