RICCI FLOW EQUATION IN TWO DIMENSIONS AND THE LINEARIZATION APPROACH
Pages 45-55
Mihai Visinescu
Abstract
Ricci flow equation in two dimensions is investigated in the conformal gauge in a linearization approach. Using a non-linear substitution of logarithmic type, the emergent quadratic equation is split in various ways. New special solutions involving arbitrary functions are presented. Some special reductions are also discussed.