Rational First Integrals and Relative Killing Tensors
Differential Geometry
2026-01-21 v2
Abstract
We relate rational integrals of the geodesic flow of a (pseudo-)Riemannian metric to relative Killig tensors, describe the spaces they span and discuss upper bounds on their dimensions.
Cite
@article{arxiv.2412.04151,
title = {Rational First Integrals and Relative Killing Tensors},
author = {Boris Kruglikov},
journal= {arXiv preprint arXiv:2412.04151},
year = {2026}
}
Comments
This is a revised version, several improvements and minor corrections over the text