Circle-preserving transformations in Finsler spaces
Differential Geometry
2011-12-30 v1
Abstract
Here, by extending the definition of circle to Finsler geometry, we show that, every circle-preserving local diffeomorphism is conformal. This result implies that in Finsler geometry, the definition of concircular change of metrics, a priori, does not require the conformal assumption.
Cite
@article{arxiv.1112.6227,
title = {Circle-preserving transformations in Finsler spaces},
author = {Behroz Bidabad and Zhongmin Shen},
journal= {arXiv preprint arXiv:1112.6227},
year = {2011}
}
Comments
To be published in Publicationes Mathematicae Debrecen, 2012