×

Space-time-world and hyperbolic geometry. (Raum-Zeit-Welt und hyperbolische Geometrie.) (German) Zbl 0871.51012

The paper is a compact manual on selected chapters of higher geometry and an introduction of fundamental tools in special relativity. The whole exposition is well accorded to the Erlangen Program. An advanced matrix calculus and abstract algebras are applied. Hyperbolic geometry of dimension 2 is introduced as an axiomatic theory, then it is developed in an analytical way by means of the model of Klein.

MSC:

51M10 Hyperbolic and elliptic geometries (general) and generalizations
51-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to geometry
83-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to relativity and gravitational theory
83A05 Special relativity
15A15 Determinants, permanents, traces, other special matrix functions
15A04 Linear transformations, semilinear transformations
PDFBibTeX XMLCite