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: Projective Differential Geometry Of Curves And SurfacesProjective Differential Geometry Of Curves And Surfaces
by - The University Of Chicago Press
Projective Differential Geometry is largely a product of the first three decades of the twentieth century. The theory has been developed in five or more different languages, by three or four well-recognized methods, in various and sundry notations.
(1923 views)
Book cover: A Geometric Approach to Differential FormsA Geometric Approach to Differential Forms
by - arXiv
This is a textbook on differential forms. The primary target audience is sophomore level undergraduates enrolled in a course in vector calculus. Later chapters will be of interest to advanced undergraduate and beginning graduate students.
(10378 views)
Book cover: Exterior Differential SystemsExterior Differential Systems
by - MSRI
An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms. This book gives a treatment of exterior differential systems. It includes both the theory and applications.
(2728 views)
Book cover: Discrete Differential Geometry: An Applied IntroductionDiscrete Differential Geometry: An Applied Introduction
by - Columbia University
This new and elegant area of mathematics has exciting applications, as this text demonstrates by presenting practical examples in geometry processing (surface fairing, parameterization, and remeshing) and simulation (of cloth, shells, rods, fluids).
(10569 views)