Ricci flow

Ricci Flow is a mathematical process used to smooth out the geometry of shapes or spaces, particularly in the field of differential geometry. Imagine a bumpy surface like a crumpled piece of paper: Ricci Flow gradually stretches and reshapes this surface to eliminate irregularities, making it more uniform. This process can help mathematicians study the properties of shapes, leading to significant discoveries, such as proving the Poincaré Conjecture. In essence, Ricci Flow is a tool for understanding the underlying structure of complex spaces by continuously deforming them into simpler forms over time.