English

Ricci solitons

Differential Geometry 2017-12-19 v1

Abstract

English translation of "Solitony Ricciego" (Wiadomo\'sci Matematyczne 48, 2012, no. 1, pp. 1-32). Despite the general-sounding title, the text covers just a few narrow topics: Perelman's proof of the fact that compact Ricci solitons are of the gradient type, and a detailed unified description of Page's and Berard Bergery's Einstein manifolds on the one hand, and Koiso's and Cao's K\"ahler-Ricci solitons on the other, as the Ricci solitons arising via conformal changes from certain special K\"ahler manifolds.

Keywords

Cite

@article{arxiv.1712.06055,
  title  = {Ricci solitons},
  author = {Andrzej Derdzinski},
  journal= {arXiv preprint arXiv:1712.06055},
  year   = {2017}
}

Comments

32 pages

R2 v1 2026-06-22T23:20:27.481Z