Certain symmetries of $\mathbb R^2$ with diagonal metrics
Differential Geometry
2025-08-04 v3
Abstract
We put into light the Killing vector fields on endowed with a family of diagonal Riemannian metrics. According to certain restrictions on the Lam\'{e} coefficients, we concretely describe the symmetries of the metric.
Cite
@article{arxiv.2410.11969,
title = {Certain symmetries of $\mathbb R^2$ with diagonal metrics},
author = {Adara M. Blaga},
journal= {arXiv preprint arXiv:2410.11969},
year = {2025}
}
Comments
12 pages