Conormal bundles with vanishing Maslov form
The Maslov class of a Lagrangian submanifold L of the cotangent bundle \(T^*M\) of a Riemannian manifold M is representable by a well defined 1- form called the Maslov form [e.g., the author, Symplectic geometry and secondary characteristic classes, Prog. Math. 72 (1987; Zbl 0629.53002)]. If L is the conormal bundle \(\nu^*N\) of a submanifold N of M, then the Maslov form vanishes iff N is minimal in M. If M is flat, the Maslov form vanishes iff \(\nu^*N\) is minimal in \(T^*M\), which relates the result to one given by \textit{R. Harvey} and \textit{H. B. Lawson} [Acta Math. 148, 47-157 (1982; Zbl 0584.53021)].
scientific article; zbMATH DE number 4173810