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4 papers
Morphism of T*-Representations
Aleks Kleyn
Importance of theorem dedicated to isomorphisms consist in statement that they allow to identify different mathematical objects which have something common from the point of view o…
Basis Manifold
Aleks Kleyn
In this paper we study a symmetry group of vector space. Basis manifold is a homogeneous space of a symmetry group. This concept leads us to the definition of active and passive tr…
Metric-Affine Manifold
Aleks Kleyn
We call a manifold with torsion and nonmetricity the metric-affine manifold. The nonmetricity leads to a difference between the auto parallel line and the extreme line, and to a ch…
Reference Frame in General Relativity
Aleks Kleyn
A reference frame in event space is a smooth field of orthonormal bases. Every reference frame is equipped by anholonomic coordinates. Using anholonomic coordinates allows to find…