The submanifold compatibility equations in magnetic geometry
Abstract
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.
Fields of Study & Subjects
Advanced Differential Geometry Research
Geometric Analysis and Curvature Flows
Geometric and Algebraic Topology
Publication details
- Journal / source
- Annals of Global Analysis and Geometry
- Volume
- 69
- Issue
- 2
- Publication date
- 4 February 2026
- Language
- EN