In the first Part of this book, we discussed the physical foundations of the DSR in four dimensions. This second Part will be devoted to dealing in detail with the mathematical features and properties of DSR. In this framework, the isometries of the deformed Minkowski space ãM play a basic role. The mathematical tool needed to such a study are the Killing equations, whose solution will allow us to determine both the infinitesimal and the finite structure of the deformed chronotopical groups of symmetries [41–43]. An important result we shall report at the end of this Part – due to its physical implications – is the geometrical structure of ãM as a generalized Lagrange space [12, 13, 44].
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Rights and permissions
Copyright information
© 2007 Springer
About this chapter
Cite this chapter
(2007). Generalized Minkowski Spaces and Killing Symmetries. In: Deformed Spacetime. Fundamental Theories of Physics, vol 157. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6283-4_5
Download citation
DOI: https://doi.org/10.1007/978-1-4020-6283-4_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-6282-7
Online ISBN: 978-1-4020-6283-4
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)