Isometric Embedding and Darboux Integrability

Jeanne Clelland, Thomas Ivey, Naghmana Tehseen +1

Given a smooth 2-dimensional Riemannian or pseudo-Riemannian manifold $(M,\mathbf{g})$ and an ambient 3-dimensional Riemannian or pseudo-Riemannian manifold $(N, \boldsymbol{h…