12 citations · 86 across the 49 of their papers we have counts for
5 papers · 1 filter
Orthonormal Basis in Minkowski Space
Aleks Kleyn, Alexandre Laugier
Finsler space is differentiable manifold for which Minkowski space is the fiber of the tangent bundle. To understand structure of the reference frame in Finsler space, we need to u…
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…
Fibered Correspondence
Aleks Kleyn
Base of fibered correspondence is arbitrary correspondence. Fibered correspondence is interesting when we consider relationship between different bundles. However composition of fi…
Fibered F-Algebra
Aleks Kleyn
The concept of F-algebra and its representation can be extended to an arbitrary bundle. We define operations of fibered F-algebra in fiber. The paper presents the representation th…
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…