The submanifold compatibility equations in magnetic geometry
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.
Authors
- Ivo Terek
Institutions
- University of California, Riverside (US)
Publication Details
- Journal
- Annals of Global Analysis and Geometry
- Published
- 2026-02-04
- DOI
- https://doi.org/10.1007/s10455-026-10026-7
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00