This research reveals analogues of classical compatibility equations in magnetic geometry, suggesting new insights in mathematical physics.
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.
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Ivo Terek (2026) studied this question.
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