We classify those rational maps f:P1→P1 for which there exists a contravariant tensor q which is parallel, i.e. such that f∗q//q, by proving that such maps preserve a parabolic orbifold.
@article{arxiv.1806.10056,
title = {Dynamical systems with a parallel tensor},
author = {Jacopo Garofali},
journal= {arXiv preprint arXiv:1806.10056},
year = {2018}
}