The submanifold compatibility equations in magnetic geometry
Differential Geometry
2026-01-12 v3
Abstract
With the notions of magnetic curvature and magnetic second fundamental form recently introduced by Assenza and Albers-Benedetti-Maier, respectively, we establish analogues of the Gauss, Ricci, and Codazzi-Mainardi compatibility equations from submanifold theory in the magnetic setting.
Cite
@article{arxiv.2506.22990,
title = {The submanifold compatibility equations in magnetic geometry},
author = {Ivo Terek},
journal= {arXiv preprint arXiv:2506.22990},
year = {2026}
}
Comments
Minor corrections and improvements after referee reports. To appear in Annals of Global Analysis and Geometry