Examples of Finslerian Metric Tensors of the Space‐Time Signature | Zendy

Asanov G. S. | Zendy

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Examples of Finslerian Metric Tensors of the Space‐Time Signature

Author(s) -

Asanov G. S.

Publication year - 1984

Publication title -

annalen der physik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.009

H-Index - 68

eISSN - 1521-3889

pISSN - 0003-3804

DOI - 10.1002/andp.19844960406

Subject(s) - signature (topology) , metric (unit) , symmetry (geometry) , curvature , class (philosophy) , physics , pure mathematics , trace (psycholinguistics) , space (punctuation) , theoretical physics , computer science , mathematics , geometry , artificial intelligence , operations management , economics , operating system , linguistics , philosophy

Continuing the previous work [1], where a way of associating the gauge fields with Finslerian metrics has been indicated, in the present note we propose a class of Finslerian metrics which are of interest for the following two reasons. Firstly, the metrics give rise to the Finslerian metric tensors of the space‐time signature (+ − − −). Secondly, the associated indicatrices prove to be spaces of constant curvature, yielding examples of the Finslerian metrics which reflect the internal symmetry groups SU (2) and SU (2)⊗ SU (2).

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