On the geometry of the kinematic space in special relativity
@article{Ferreira2020OnTG, title={On the geometry of the kinematic space in special relativity}, author={Rafael Antunes Ferreira and Jo{\~a}o Andrade dos Reis J{\'u}nior and Carlos H. Grossi}, journal={Journal of Geometry and Physics}, year={2020} }
References
SHOWING 1-10 OF 14 REFERENCES
Relativity: Special, General, and Cosmological
- Physics
- 2005
Wolfgang Rindler is known as a writer of exceptional clarity. This quality is evident in this book as it explores in depth first special relativity, then general relativity, and finally relativistic…
Coordinate-free classic geometries
- Mathematics
- 2007
This paper is devoted to a coordinate-free approach to several classic geometries such as hyperbolic (real, complex, quaternionic), elliptic (spherical, Fubini-Study), and lorentzian (de Sitter, anti…
Grassmannians and Conformal Structure on Absolutes
- MathematicsAdvances in Applied Clifford Algebras
- 2018
We study grassmannians associated with a linear space with a nondegenerate hermitian form. The geometry of these grassmannians allows us to explain the relation between a (pseudo-)riemannian…
An overview of Patterson-Sullivan theory
- Mathematics
Let M be a complete Riemannian manifold with negative sectional curvature. Then the universal cover X of M is diffeomorphic to a Euclidean space and may be geometrically compactified by adding to it…
COMPLETE LORENTZIAN 3-MANIFOLDS
- Mathematics
- 2013
Based on four lectures the authors gave in Almora on flat Lorentzian manifolds, these notes are an introduction to Lorentzian three-manifolds. In particular, we provide examples of quotients of…
Introduction to Smooth Manifolds
- Mathematics
- 2002
Preface.- 1 Smooth Manifolds.- 2 Smooth Maps.- 3 Tangent Vectors.- 4 Submersions, Immersions, and Embeddings.- 5 Submanifolds.- 6 Sard's Theorem.- 7 Lie Groups.- 8 Vector Fields.- 9 Integral Curves…
Differential geometry of grassmannians and the Plücker map
- Mathematics, Computer Science
- 2012
Using the Plücker map between grassmannians, basic aspects of classic grassmannian geometries are studied and some facts are proved that were previously known in the ‘elliptic’ case.
Analytic Hyperbolic Geometry and Albert Einstein's Special Theory of Relativity
- Physics
- 2008
Gyrogroups Gyrocommutative Gyrogroups Gyrogroup Extension Gyrovectors and Cogyrovectors Gyrovector Spaces Rudiments of Differential Geometry Gyrotrigonometry Bloch Gyrovector of Quantum Information…
Complex Hyperbolic Structures on Disc Bundles over Surfaces I. General Settings. A Series of Examples
- Mathematics
- 2005
We study complex hyperbolic disc bundles over closed orientable surfaces that arise from discrete and faithful representations H_n->PU(2,1), where H_n is the fundamental group of the orbifold…
Anwendung der lobatschefskijschen geometrie in der relativtheorie
- Physikalische Zeitschrift
- 1910