4 problems

Classification conjecture. Every closed totally magnetic submanifold of $E(\mathbf a)$ is of the form

Classification conjecture. Every closed, connected totally magnetic submanifold of $E(A)$ of positive dimension is of the form

Let $(M^m,g)$ be a compact manifold with smooth boundary $\partial M$, and let $\eta\in\Omega^1(M)$. Let $\mathfrak{B}_M$ denote the relevant gauge-trivial subspace, and for an adm…

Let $(\mathbb{B}^2,g)$ be the Euclidean unit disk, let $\eta=-y\,dx+x\,dy$ be the rotational $1$-form, and let $\sigma_1^{t\eta}(\mathbb{B}^2)$ denote the first eigenvalue of the m…