Logo

Orthonormal Basis in Minkowski Space

Small book cover: Orthonormal Basis in Minkowski Space

Orthonormal Basis in Minkowski Space
by

Publisher: arXiv
Number of pages: 132

Description:
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.

Home page url

Download or read it online for free here:
Download link
(1MB, PDF)

Similar books

Book cover: Transformations of SurfacesTransformations of Surfaces
by - Princeton University Press
Most of the transformations are reducible to transformations F or to transformations of the type such that a surface and a transform are focal surfaces of a W congruence. It is the purpose of this book to develop these two types of transformations.
(790 views)
Book cover: An Introduction to Gaussian GeometryAn Introduction to Gaussian Geometry
by - Lund University
These notes introduce the beautiful theory of Gaussian geometry i.e. the theory of curves and surfaces in three dimensional Euclidean space. The text is written for students with a good understanding of linear algebra and real analysis.
(10466 views)
Book cover: Geometric Wave EquationsGeometric Wave Equations
by - arXiv
We discuss the solution theory of geometric wave equations as they arise in Lorentzian geometry: for a normally hyperbolic differential operator the existence and uniqueness properties of Green functions and Green operators is discussed.
(9690 views)
Book cover: Notes on Symmetric SpacesNotes on Symmetric Spaces
by - arXiv
Contents: Affine connections and transformations; Symmetric spaces; Orthogonal symmetric Lie algebras; Examples; Noncompact symmetric spaces; Compact semisimple Lie groups; Hermitian symmetric spaces; Classification of real simple Lie algebras.
(8087 views)