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arXiv · 2506.22990

The submanifold compatibility equations in magnetic geometry

Ivo Terek
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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.

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Ivo Terek. 2025-06-28. The submanifold compatibility equations in magnetic geometry. https://arxiv.org/abs/2506.22990

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