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Deformed SpacetimeGeneralized Minkowski Spaces and Killing Symmetries

Deformed Spacetime: Generalized Minkowski Spaces and Killing Symmetries [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].] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Deformed SpacetimeGeneralized Minkowski Spaces and Killing Symmetries

Part of the Fundamental Theories of Physics Book Series (volume 157)
Deformed Spacetime — Jan 1, 2007
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Publisher
Springer Netherlands
Copyright
© Springer Science+Business Media B.V. 2007
ISBN
978-1-4020-6282-7
Pages
69 –78
DOI
10.1007/978-1-4020-6283-4_5
Publisher site
See Chapter on Publisher Site

Abstract

[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].]

Published: Jan 1, 2007

Keywords: Minkowski Space; Killing Vector; Riemann Space; Transformation Representation; Killing Equation

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