29 citations · 80 across the 12 of their papers we have counts for
13 papers
Space-time as a structured relativistic continuum
Jan Jerzy Sławianowski, Vasyl Kovalchuk, Barbara Gołubowska +2
It is well known that there are various models of gravitation: the metrical Hilbert-Einstein theory, a wide class of intrinsically Lorentz-invariant tetrad theories (of course, gen…
Constraints and symmetry in mechanics of affine motion
Jan Jerzy Sławianowski, Barbara Gołubowska, Vasyl Kovalchuk
The aim of this paper is to perform a deeper geometric analysis of problems appearing in dynamics of affinely rigid bodies. First of all we present a geometric interpretation of th…
Symmetries and constraints in mechanics of continua
Jan Jerzy Sławianowski
In spite of its long history and classical character which goes back even to d'Alembert and Lagrange, the problems of constraints in mechanics of continua is still mysterious and f…
Geometric Nonlinearities in Field Theory, Condensed Matter and Analytical Mechanics
Jan Jerzy Sławianowski
There are two very important subjects in physics: Symmetry of dynamical models and nonlinearity. All really fundamental models are invariant under some particular symmetry groups.…
Affinely-rigid body and oscillatory dynamical models on GL(2,R)
Agnieszka Martens, Jan J. Sławianowski
Discussed is a model of the two-dimensional affinely-rigid body with the double dynamical isotropy. We investigate the systems with potential energies for which the variables can b…
Motion of test bodies with internal degrees of freedom in non-Euclidian spaces
J. J. Sławianowski, B. Gołubowska
Discussed is mechanics of objects with internal degrees of freedom in generally non-Euclidean spaces. Geometric peculiarities of the model are investigated detailly. Discussed are…