  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 understand the structure of orthonormal basis in
Minkowski space.
  In this paper, I considered the definition of orthonormal basis in Minkowski
space, the structure of metric tensor relative to orthonormal basis, procedure
of orthogonalization. Linear transformation of Minkowski space which preserves
the scalar product is called a motion. Linear transformation which maps the
orthonormal basis into an infinitely close orthonormal basis is infinitesimal
motion. An infinitesimal motion maps orthonormal basis into orthonormal basis.
  The set of infinitesimal motions generates Lie algebra, which acts single
transitive on basis manifold of Minkowski space. Element of twin representation
is called quasimotion of Minkowski space. Quasimotion of event space is called
Lorentz transformation.
