Seminarium "The Trans-Carpathian Seminar on Geometry & Physics"

The Ricci flow is a technique for analyzing Riemannian manifolds by evolving their metric with respect to a certain differential equation. The method was first introduced by Hamilton in his paper form 1982, as means to solve a problem concerning classification of 3-dimensional compact manifolds. My talk will be a short introduction to the topic of the Ricci flow, explaining its basic ideas and illustrating them with some application examples.