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arXiv · 1112.6227

Circle-preserving transformations in Finsler spaces

Behroz Bidabad·Zhongmin Shen
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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.

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Behroz Bidabad, Zhongmin Shen. 2011-12-29. Circle-preserving transformations in Finsler spaces. https://arxiv.org/abs/1112.6227

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