Orthonormal Basis in Minkowski Space by Aleks Kleyn, Alexandre Laugier
Publisher: arXiv 2012
Number of pages: 132
In this paper, we 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 mapping at least one orthonormal basis into orthonormal basis is called motion. The set of motions of Minkowski space V generates not complete group SO(V) which acts single transitive on the basis manifold.
Mathematics Geometry & Topology Differential Geometry