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

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2005
• 1. Verfasser: Bogoslovsky, G.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2005
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/209343
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...