Conformal geometry of surfaces in the Lagrangian Grassmannian and second-order PDE

Abstract

Of all real Lagrangian Grassmannians LG(n, 2n), only LG(2, 4) admits a distinguished Lorentzian conformal structure and hence is identified with the indefinite M�bius space S 1,2. Using Cartan's method of moving frames, we study hyperbolic (timelike) su