Spiraling conformal geodesics
Differential Geometry
2025-09-03 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
In this short note, we construct an example of spiraling conformal geodesic in Euclidean signature in dimension , answering the question posed by Helmuth Friedrich and Paul Tod, if such objects exists. Our example is not real analytic, but similar constructions can lead also to real analytic metrics in arbitrary dimensions.
Keywords
Cite
@article{arxiv.2509.00606,
title = {Spiraling conformal geodesics},
author = {Wojciech Kamiński},
journal= {arXiv preprint arXiv:2509.00606},
year = {2025}
}
Comments
6 pages