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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages, latex, no figures

Scientific paper

10.1142/S021773230501892X

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.

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