Circle-preserving transformations in Finsler spaces

Details Circle-preserving transformations in Finsler spaces Circle-preserving transformations in Finsler spaces

2011-12-29

arxiv.org/abs/1112.6227v1

Publicationes Mathematicae Debrecen, vol. 80, 2012

Mathematics

Differential Geometry

To be published in Publicationes Mathematicae Debrecen, 2012

Scientific paper

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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