Ricci flow on Kähler manifolds

0 Ricci flow on Kähler manifolds

Ricci Flow on Kähler-einstein Manifolds

Ricci flow on compact Kähler manifolds of positive bisectional

where ω̃ = ( √ −1/2)g̃ij̄dz ∧ dz and Σ̃ = ( √ −1/2)R̃ij̄dz ∧ dz are the Kähler form, the Ricci form of the metric g̃ respectively, while c1(M) denotes the first Chern class. Under the normalized initial condition (2), the first author [3] (see also Proposition 1.1 in [4]) showed that the solution g(x, t) = ∑ gij̄(x, t)dz dz to the normalized flow (1) exists for all time. Furthermore by the work of Mok ...

The Kähler - Ricci flow on Kähler manifolds with 2 traceless bisectional curvature operator

Ricci Flow on Kähler-einstein Surfaces