期刊
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
卷 15, 期 1, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219887818500032
关键词
Pseudo-Finsler space; Finsler spacetime; conformal mapping; conformal vector field; Killing vector field
资金
- Transilvania University of Brasov
The paper aims to initiate a systematic study of conformal mappings between Finsler spacetimes and, more generally, between pseudo-Finsler spaces. This is done by extending several results in pseudo-Riemannian geometry which are necessary for field-theoretical applications and by proposing a technique that reduces some problems involving pseudo-Finslerian conformal vector fields to their pseudo-Riemannian counterparts. Also, we point out, by constructing classes of examples, that conformal groups of flat (locally Minkowskian) pseudo-Finsler spaces can be much richer than both flat Finslerian and pseudo-Euclidean conformal groups.
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