We consider maximum solution g(t), tβ[0,+β), to the normalized
Ricci flow. Among other things, we prove that, if (M,Ο) is a smooth
compact symplectic 4-manifold such that b2+β(M)>1 and let
g(t),tβ[0,β), be a solution to (1.3) on M whose Ricci curvature
satisfies that β£Ric(g(t))β£β€3 and additionally Ο(M)=3Ο(M)>0, then there exists an mβN, and a sequence of points
{xj,kββM}, j=1,...,m, satisfying that, by passing to a
subsequence, (M,g(tkβ+t),x1,kβ,...,xm,kβ)βΆdGHββ(j=1βmβNjβ,gββ,x1,ββ,...,,xm,ββ),tβ[0,β), in the m-pointed
Gromov-Hausdorff sense for any sequence tkββΆβ, where
(Njβ,gββ), j=1,...,m, are complete complex hyperbolic orbifolds
of complex dimension 2 with at most finitely many isolated orbifold points.
Moreover, the convergence is Cβ in the non-singular part of
β1mβNjβ and
Volg0ββ(M)=βj=1mβVolgβββ(Njβ), where
Ο(M) (resp. Ο(M)) is the Euler characteristic (resp. signature) of
M.Comment: 23 page