Conformal class of Lorentzian surfaces with Killing fields
Differential Geometry
2023-11-10 v1
Abstract
We study the conformal classes of 2-dimensional Lorentzian tori with (non zero) Killing fields. We define a map that associate to such a class a vector field on the circle (up to a scalar factor). This map is not injective but has finite dimensional fiber. It allows us to characterize the conformal classes of tori with Killing field satisfying a condition related to the existence of conjugate points given by L. Mehidi.
Cite
@article{arxiv.2311.05211,
title = {Conformal class of Lorentzian surfaces with Killing fields},
author = {Pierre Mounoud},
journal= {arXiv preprint arXiv:2311.05211},
year = {2023}
}