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: Comparison GeometryComparison Geometry
by - Cambridge University Press
This volume is an up-to-date panorama of Comparison Geometry, featuring surveys and new research. Surveys present classical and recent results, and often include complete proofs, in some cases involving a new and unified approach.
(14233 views)
Book cover: Probability, Geometry and Integrable SystemsProbability, Geometry and Integrable Systems
by - Cambridge University Press
The three main themes of this book are probability theory, differential geometry, and the theory of integrable systems. The papers included here demonstrate a wide variety of techniques that have been developed to solve various mathematical problems.
(17817 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.
(17559 views)
Book cover: Ricci Flow and the Poincare ConjectureRicci Flow and the Poincare Conjecture
by - American Mathematical Society
This book provides full details of a complete proof of the Poincare Conjecture following Grigory Perelman's preprints. The book is suitable for all mathematicians from advanced graduate students to specialists in geometry and topology.
(16657 views)