A geometric reduction method for some fully nonlinear first-order PDEs on semi-Riemannian manifolds

Juan Carlos Fernández, Eddaly Guerra-Velasco, Oscar Palmas +1

Given a semi-Riemannian manifold $(M,⟨\cdot ,\cdot {⟩}_g),$ we use the transnormal functions defined on $M$ to reduce fully nonlinear first order PDEs of the form \[ F(x,u…