Special solutions for Ricci flow equation in 2D using the linearization approach

Abstract

The 2D Ricci flow equation in the conformal gauge is studied using the 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.

8 pages, latex, no figures

References in corpus (1)

• Ricci flows and their integrability in two dimensions

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