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: 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.
(4060 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.
(5346 views)
Book cover: Global Theory Of Minimal SurfacesGlobal Theory Of Minimal Surfaces
by - American Mathematical Society
The wide variety of topics covered make this volume suitable for graduate students and researchers interested in differential geometry. The subjects covered include minimal and constant-mean-curvature submanifolds, Lagrangian geometry, and more.
(6615 views)
Book cover: Noncompact Harmonic ManifoldsNoncompact Harmonic Manifolds
by - arXiv
We provide a survey on recent results on noncompact simply connected harmonic manifolds, and we also prove many new results, both for general noncompact harmonic manifolds and for noncompact harmonic manifolds with purely exponential volume growth.
(3450 views)