Flat Metrics with a Prescribed Derived Coframing

Robert L. Bryant, Jeanne N. Clelland

The following problem is addressed: A $3$-manifold $M$ is endowed with a triple $\Omega =({\Omega }^1,{\Omega }^2,{\Omega }^3)$ of closed $2$-forms. One wants to construct a coframing $ω= \big(ω^1,ω^2,…