English

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

High Energy Physics - Theory 2010-11-26 v1 Mathematical Physics math.MP Exactly Solvable and Integrable Systems

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.

Keywords

Cite

@article{arxiv.hep-th/0506113,
  title  = {Special solutions for Ricci flow equation in 2D using the linearization approach},
  author = {Stefan Adrian Carstea and Mihai Visinescu},
  journal= {arXiv preprint arXiv:hep-th/0506113},
  year   = {2010}
}

Comments

8 pages, latex, no figures

R2 v1 2026-07-22T15:30:33.060Z