**Orthonormal Basis in Minkowski Space**

by Aleks Kleyn, Alexandre Laugier

**Publisher**: arXiv 2012**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.

Download or read it online for free here:

**Download link**

(1MB, PDF)

## Similar books

**Projective and Polar Spaces**

by

**Peter J. Cameron**-

**Queen Mary College**

The author is concerned with the geometry of incidence of points and lines, over an arbitrary field, and unencumbered by metrics or continuity (or even betweenness). The treatment of these themes blends the descriptive with the axiomatic.

(

**7719**views)

**Cusps of Gauss Mappings**

by

**Thomas Banchoff, Terence Gaffney, Clint McCrory**-

**Pitman Advanced Pub. Program**

Gauss mappings of plane curves, Gauss mappings of surfaces, characterizations of Gaussian cusps, singularities of families of mappings, projections to lines, focal and parallel surfaces, projections to planes, singularities and extrinsic geometry.

(

**10862**views)

**Triangles, Rotation, a Theorem and the Jackpot**

by

**Dave Auckly**-

**arXiv**

This paper introduced undergraduates to the Atiyah-Singer index theorem. It includes a statement of the theorem, an outline of the easy part of the heat equation proof. It includes counting lattice points and knot concordance as applications.

(

**5068**views)

**An introductory course in differential geometry and the Atiyah-Singer index theorem**

by

**Paul Loya**-

**Binghamton University**

This is a lecture-based class on the Atiyah-Singer index theorem, proved in the 60's by Sir Michael Atiyah and Isadore Singer. Their work on this theorem lead to a joint Abel prize in 2004. Requirements: Knowledge of topology and manifolds.

(

**7216**views)