A new approximation method for geodesics on the space of Kähler metrics using complexified symplectomorphisms and Gröbner Lie series

José Mourão, João P. Nunes, Tomás Reis

It has been shown that the Cauchy problem for geodesics in the space of Kähler metrics with a fixed cohomology class on a compact complex manifold $M$ can be effectively reduced to…