Conformal maps between pseudo-Finsler spaces
Differential Geometry
2018-03-28 v2
Abstract
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 which reduces a series of 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.
Cite
@article{arxiv.1706.01569,
title = {Conformal maps between pseudo-Finsler spaces},
author = {Nicoleta Voicu},
journal= {arXiv preprint arXiv:1706.01569},
year = {2018}
}