Collapsing of products along the Kähler-Ricci flow

Matthew Gill
2013 Transactions of the American Mathematical Society  
where M is an m-dimensional Kähler manifold with negative first Chern class and E is an n-dimensional complex torus. We obtain C ∞ convergence of the normalized Kähler-Ricci flow on X to a Kähler-Einstein metric on M . This strengthens a convergence result of Song-Weinkove and confirms their conjecture.
doi:10.1090/s0002-9947-2013-06073-4 fatcat:telkdlanjzbntgr5h473ijy3ee