Ricci Flow

∂g/∂t = −2 Ric(g) — Hamilton's metric evolution (2D Gaussian curvature)

Surface

Time: 0.00

Max |K|: -

Mean K: -

∫K dA ≈ - (χ=-)

In 2D, Ricci flow with normalization drives any metric toward constant curvature. Hamilton (1982); Perelman (2003) proved the Poincaré conjecture using this flow.

We simulate the conformal factor evolution: ∂u/∂t = e^(-2u)·Δu (2D).