Subgroups of the Group of Generalized Lorentz Transformations and Their Geometric Invariants

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2005
• Main Author: Bogoslovsky, G.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209343
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Subgroups of the Group of Generalized Lorentz Transformations and Their Geometric Invariants / G. Bogoslovsky // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 15 назв. — англ.

It is shown that the group of generalized Lorentz transformations serves as the relativistic symmetry group of a flat Finslerian event space. Being the generalization of Minkowski space, the Finslerian event space arises from the spontaneous breaking of initial gauge symmetry and from the formation...